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Sine, Cosine, and Tangent

Explaining the trigonometric ratios of right triangles for sine, cosine, and tangent

Reciprocal Trig Functions

Finding the six trigonometric ratios for a right triangle

Solving Problems with Trig Exercise 1

Using trig to find the length of the side of a right triangle given an angle and side length

Solving Problems with Trig Exercise 2

Using trig to find an angle in a right triangle with two given sides

Trig Functions with the Unit Circle

Finding the values of trig functions with the unit circle

Trig Functions with the Unit Circle Exercise 4

Finding the exact values of sine and secant for several given angles using the unit circle

Trig Functions with the Unit Circle Exercise 5

Finding the angles where sine has a given value using the unit circle

The Graph of Sine

Using the unit circle to sketch the graph of the sine function

The Graph of Tangent

Using the unit circle to sketch the graph of the tangent function

The Graphs of the Reciprocal Trig Functions

Graphing the reciprocal trig functions cosecant, secant, and cotangent

Transformations of Trig Graphs Exercise 1

Graphing a period of a transformed sine function

Transformations of Trig Graphs Exercise 3

Writing the sine and cosine functions for a given graph

Deriving the Secondary Pythagorean Trig Identities

Using the Pythagorean Trig Identity to derive the secondary Pythagorean Identities

Deriving the Double Angle Trig Identities

Using the sum identities of sine and cosine to derive the double angle identities

Deriving the Cofunction Trig Identities

Using the difference identities of sine and cosine to derive the cofunction identities

Using Identities to Find Exact Trig Values Exercise 2

Using the Sum Identity for Trig to find the exact value of sine

Using Identities to Find Exact Trig Values Exercise 3

Using a Double Angle Identity to find the exact value of an expression with sine and cosine

Using Identities to Find Exact Trig Values Exercise 4

Using the Half-Angle Identities to find the exact values of sine, cosine, and tangent

Trigonometric Proofs Exercise 1

Using the Reciprocal, Ratio, and Pythagorean Identities to verify a trig identity

Trigonometric Proofs Exercise 4

Proving a trig identity involving sine, cosine, and cotangent

Solving Trigonometric Equations Exercise 1

Finding all solutions to a trigonometric equation with sine

Solving Trigonometric Equations Exercise 2

Solving a trigonometric equation with sine and cosine by factoring

Solving Trigonometric Equations Exercise 4

Solving a trigonometric equation with tangent and sine by factoring

Solving Trig Equations Using Identities Exercise 2

Solving a trig equation with sine and cosine using aPythagorean Identity

Solving Trig Equations Using Identities Exercise 4

Solving a trig equation with sine and tangent using a trig identity

Solving Trig Equations Using Identities Exercise 5

Solving a trig equation with sine and cosine using trig identities

Trigonometric Limits Example 1

Solving a limit example with a trigonometric functions

Trigonometric Limits Example 2

Solving a limit example with a trigonometric function

Trigonometric Limits Example 3

Evaluating a trigonometric limit using trigonometric identities

WIR5 20B M150 V13

Determining the properties of a sine function and graphing it

WIR5 20B M150 V14

Writing the equation for a sine function with certain characteristics

WIR5 20B M150 V17

Writing the equation for a sine function to match a given graph

WIR6 20B M150 V04

Evaluating compositions with inverse trigonometric functions

WIR6 20B M150 V05

Evaluating compositions with inverse trigonometric functions

WIR6 20B M150 V08

Verifying a trigonometric identity

WIR6 20B M150 V09

Verifying a trigonometric identity

WIR6 20B M150 V14

Solving a trigonometric equation

WIR6 20B M150 V21

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V22

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V23

Using double angle formulas to evaluate trigonometric functions

WIR6 20B M150 V16

Using a difference formula to evaluate a trigonometric function

WIR6 20B M150 V19

Using a sum formula to rewrite a trigonometric expression

WIR7 20B M150 V04

Using the Law of Sines to solve a triangle

WIR7 20B M150 V01

Using the Law of Sines to solve a triangle

WIR7 20B M150 V02

Using the Law of Sines to solve a triangle

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

MLC WIR 20B M151 week2 #03

Evaluating a composition of trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week2 #04

Simplifying expressions containing trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week3 #05

Finding a Cartesian equation for a parametric curve

MLC WIR 20B M151 week3 #08

Using vectors to find the magnitude and direction of a resultant force

MLC WIR 20B M151 week3 #13

Evaluating compositions of trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week10 #3

Converting parametric equations into a Cartesian equation

Review for the Common Exam: MATH 152 Exam 1 Review Problems 29-33

Review of trigonometric substitution

WIR 20B M152 V5

Integrating a function with sine using u-substitution

WIR 20B M152 V86

Converting parametric equations into a Cartesian equation and graphing

WIR 20B M152 V87

Converting parametric equations into a Cartesian equation and graphing

Integrating Powers of Sine and Cosine

Using trigonometric identities to integrate powers of sine and cosine

Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3

Proving facts about the derivatives of vector functions including the product rule

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3

Proving the derivatives of trigonometric functions and that sine is continuous

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Integration by Substitution: MATH 171 Problems 4-6

Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

Review for the Common Exam: MATH 152 Exam 1 Review Problems 29-33

Review of trigonometric substitution

Area Between Curves: MATH 172 Problems 1-3

Interpreting integrals to represent areas between curves

Proving Trigonometric Identities: MATH 172 Problems 3 & 4

Proving trigonometric identities useful for integration

Integrating Powers of Sine and Cosine

Using trigonometric identities to integrate powers of sine and cosine

Trigonometric Substitution: MATH 172 Problems 6 & 7

Integrating using a trigonometric substitution

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

Using a Rotation Map

Using a rotation map matrix to rotate a 2-dimensional vector by the angle \(\pi\)

Special Right Triangles

Explaining the special right triangles and the relationships between their sides

Trig Functions with the Unit Circle Exercise 6

Finding the angle where secant has a given value and tangent is positive

Trig Functions with the Unit Circle Exercise 1

Finding the exact value of tangent for several given angles using the unit circle

Trig Functions with the Unit Circle Exercise 2

Finding the exact value of secant, cosecant, and cotangent using the unit circle

Trig Functions with the Unit Circle Exercise 3

Finding the exact values of cosine and cotangent for given angles using the unit circle

The Graph of Cosine

Using the unit circle to sketch the graph of the cosine function

Transformations of Trig Graphs Exercise 2

Graphing a period of a transformed cosine function

Trig Identities Exercise 1

Using the reciprocal and ratio trig identities to simplify an expression

Trig Identities Exercise 2

Using the Pythagorean Identities to simplify a trig expression

Using Identities to Find Exact Trig Values Exercise 1

Using the Sum and Difference Identities to find the exact value of cosine

Trigonometric Proofs Exercise 2

Proving a trigonometric identity involving secant, cotangent, and tangent

Trigonometric Proofs Exercise 3

Proving a trig identity involving sine and cosine

Solving Trigonometric Equations Exercise 3

Solving a trigonometric equation with secant by factoring

Solving Trig Equations Using Identities Exercise 6

Solving a trig equation with cosine using trig identities

Solving Trig Equations Using Identities Exercise 7

Solving a trig equation with cotangent and sine using trig identities

Solving Trig Equations Using Identities Exercise 3

Solving a trig equation with cotangent and cosecant using trig identities

Solving Trig Equations Using Identities Exercise 1

Using the Even/Odd and Cofunction Identities to solve an equation with sine

WIR5 20B M150 V8

Using trigonometry to determine the edge lengths of a right triangle

WIR5 20B M150 V9

Evaluating trigonometric functions given a point on the terminal side of an angle

WIR5 20B M150 V10

Evaluating trigonometric functions given a point on the terminal side of an angle

WIR5 20B M150 V11

Finding trigonometric functions given information about the angle

WIR5 20B M150 V5

Evaluating all six trigonometric functions for a right triangle

WIR5 20B M150 V6

Evaluating all six trigonometric functions for a right triangle

WIR5 20B M150 V4

Evaluating all six trigonometric functions for angles in degrees and radians

WIR5 20B M150 V18

Writing the equation for a cosine function to match a given graph

WIR5 20B M150 V15

Determining the properties of a cosine function and graphing it

WIR5 20B M150 V16

Writing the equation for a cossine function with certain characteristics

WIR6 20B M150 V06

Writing an equivalent algebraic expression for compositions with inverse trigonometric functions containing variables

WIR6 20B M150 V07

Using inverse trigonometry to write an expression for an angle in a right triangle

WIR8 20B M150 V12

Evaluating a composition of trigonometric and inverse trigonometric functions

WIR6 20B M150 V20

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V15

Solving a trigonometric equation

WIR8 20B M150 V13

Solving a trigonometric equation

WIR6 20B M150 V10

Solving a trigonometric equation

WIR6 20B M150 V11

Solving a trigonometric equation

WIR6 20B M150 V12

Solving a trigonometric equation by factoring

WIR6 20B M150 V13

Solving a trigonometric equation

WIR6 20B M150 V17

Using a sum formula to evaluate a trigonometric expression

WIR6 20B M150 V18

Using a sum formula to evaluate a trigonometric expression

WIR7 20B M150 V03

Using the Law of Cosines to solve a triangle

WIR6 20B M150 V01

Finding the properties of a transformed tangent function and graphing it

Parametric Curves: MATH 151 Problems 1-5

Cartesian equations and parametric equations of curves

Vectors and Derivatives: MATH 151 Problems 1-8

Derivatives and vectors with some physics applications

Derivatives and Applications: MATH 151 Problems 9-15

Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 1 Review Problems 10-13

Review of vector functions and parametric equations

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15

Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20

Derivatives of parametric equations and tangent lines

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30

Antiderivatives and physics applications

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 Problems 1-8

Derivatives and vectors with some physics applications

Implicit Differentiation: MATH 151 Problems 10-13

Implicit differentiation and finding tangent lines

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Vectors and Derivatives: MATH 151 Problems 1-8

Derivatives and vectors with some physics applications

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Derivatives and Applications: MATH 151 Problems 9-15

Tangent lines to parametric equations and related rates examples

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

L'Hospital's Rule: MATH 151 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

Riemann Sums: MATH 151 Problems 1-5

Riemann sums, including approximating areas under curves.

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

MLC WIR 20B M151 week4 #1kl

Using the Chain Rule to differentiate functions

MLC WIR 20B M151 week4 #1mn

Using the Chain Rule to differentiate functions with exponential and trigonometric functions

MLC WIR 20B M151 week4 #1o

Using the Chain Rule to differentiate a function containing trigonometric functions

MLC WIR 20B M151 week4 #5

Using the Chain Rule to find the pattern for a higher order derivative

MLC WIR 20B M151 week5 #1b

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1c

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1d

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #2

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #3b

Finding a tangent line to an curve defined implicitly

MLC WIR 20B M151 week5 #4ef

Finding the derivative of a function containing a logarithmic function

MLC WIR 20B M151 week5 #4ghi

Finding the derivatives of functions containing logarithms

MLC WIR 20B M151 week5 #5

Finding the derivative of a function containing a logarithms

MLC WIR 20B M151 week5 #7a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #7c

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #8b

Graphing a vector function by converting it to a Cartesian equation

MLC WIR 20B M151 week5 #9b

Finding the tangent line to a parametric curve

MLC WIR 20B M151 week6 #1ab

Using the Product and Chain Rule to find several derivatives

MLC WIR 20B M151 week6 #1cd

Using the Product, Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #1ef

Using the Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #1gh

Using the Product and Chain Rules to differentiate functions with logarithms

MLC WIR 20B M151 week6 #1ij

Differentiating functions with logarithmic and inverse trigonometric functions

MLC WIR 20B M151 week6 #1kl

Differentiating functions with inverse trigonometric functions

MLC WIR 20B M151 week6 #2a

Finding the derivative of an implicit function

MLC WIR 20B M151 week6 #2b

Finding the derivative of an implicit function

MLC WIR 20B M151 week6 #3

Using the chain rule to find a derivative

MLC WIR 20B M151 week6 #4a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #4b

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #9

Finding where a function has horizontal tangent lines

MLC WIR 20B M151 week6 #10

Finding a higher order derivative of a function

MLC WIR 20B M151 week7 #1c

Finding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #4b

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week8 #4d

Finding the antiderivative of a function

MLC WIR 20B M151 week8 #5a

Finding a function from its second derivative using antidifferentiation

MLC WIR 20B M151 week8 #5b

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5c

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5d

Antidifferentiating to find a function from its derivative

MLC WIR 20B M151 week8 #5e

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5f

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #6

Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone

MLC WIR 20B M151 week9 #8e

Evaluating a limit with an indeterminant product using L'Hospital's Rule

MLC WIR 20B M151 week9 #10d

Finding the antiderivative of a function and using a function value to find the constant

MLC WIR 20B M151 week10 #5

Calculating a composition of tangent and arcsine

MLC WIR 20B M151 week10 #10a

Finding the derivative of an implicit function

MLC WIR 20B M151 week10 #10b

Finding the derivative of an implicit function

MLC WIR 20B M151 week10 #15

Determining the rate that the area of a triangle is increasing based on the rate an angle is increasing

MLC WIR 20B M151 week10 #19a

Using L'Hospital's Rule to solve a limit

MLC WIR 20B M151 week10 #22

Using the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

MLC WIR 20B M151 week10 #24c

Evaluating a definite integral with an exponential and sine function

MLC WIR 20B M151 week10 #24d

Using u-substitution to evaluate an indefinite integral

MLC WIR 20B M151 week10 #24e

Using u-substitution to evaluate an indefinite integral

Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3

Review of sequences and finding the sum of a series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Taylor and Maclaurin Series: MATH 152 Problems 4-10

Finding Taylor and Maclaurin Series for functions

WIR 20B M152 V26

Evaluating an integral using integration by parts

WIR 20B M152 V28

Evaluating an integral using trigonometric identities

WIR 20B M152 V29

Evaluating an integral using trigonometric identities

WIR 20B M152 V31

Evaluating an integral using trigonometric identities

WIR 20B M152 V51

Determining if a series converges or diverges

WIR 20B M152 V59

Using the limit comparison test to determine if a series converges or diverges

WIR 20B M152 V62

Using the Alternating Series Test to determine if a series converges or diverges

WIR 20B M152 V63

Using the Alternating Series Test to determine if a series converges or diverges

WIR 20B M152 V80

Evaluating a definite integral by rewriting the integrand as its Maclaurin series

WIR 20B M152 V89

Find the integral representing the surface area of a rotated parametric curve

WIR 20B M152 V97

Finding the area of a region defined using polar coordinates

WIR 20B M152 V99

Finding the area of a region defined using polar coordinates

MATH 152: Integration by Parts Exercise 9

Using integration by parts twice for an integral with sine and an exponential function

Integrating Powers of Secant and Tangent

Using trigonometric identities to integrate powers of secant and tangent

MATH 152: Trigonometric Integrals Exercise 1

Using trigonometric identities to solve an integral with powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 2

Using trigonometric identities to integrate a power of cosine

MATH 152: Trigonometric Integrals Exercise 3

Using a trigonometric identity to integrate powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 4

Using a trigonometric identity to integrate powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 5

Using trigonometric identities to integrate even powers of sine and cosine

MATH 152: u-Substitution Exercise 6

Using u-substitution on an indefinite integral with an exponential function, sine, and cosine

Cases for Trigonometric Substitution

Explaining the cases for using trigonometric substitution

Parametric Curves: MATH 151 Problems 1-5

Cartesian equations and parametric equations of curves

Vectors and Derivatives: MATH 151 Problems 1-8

Derivatives and vectors with some physics applications

Vectors and Derivatives: MATH 151 Problems 1-8

Derivatives and vectors with some physics applications

Derivatives and Applications: MATH 171 Problems 7 & 8

Calculating slopes of tangent lines to parametric curves

Derivatives and Applications: MATH 151 Problems 9-15

Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 1 Review Problems 10-13

Review of vector functions and parametric equations

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15

Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20

Derivatives of parametric equations and tangent lines

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30

Antiderivatives and physics applications

Limits: MATH 171 Problems 8 & 9

Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4

Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 Problems 1-8

Derivatives and vectors with some physics applications

Implicit Differentiation: MATH 151 Problems 10-13

Implicit differentiation and finding tangent lines

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Derivatives and Applications: MATH 151 Problems 9-15

Tangent lines to parametric equations and related rates examples

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

L'Hospital's Rule: MATH 151 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

Riemann Sums: MATH 151 Problems 1-5

Riemann sums, including approximating areas under curves.

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3

Review of sequences and finding the sum of a series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Taylor and Maclaurin Series: MATH 152 Problems 4-10

Finding Taylor and Maclaurin Series for functions

Taylor and Maclaurin Series: MATH 172 Problems 1-5

Reviewing Taylor and Maclaurin Series and Taylor's Inequality

Integrating Powers of Secant and Tangent

Using trigonometric identities to integrate powers of secant and tangent

Cases for Trigonometric Substitution

Explaining the cases for using trigonometric substitution

WIR1 20B M251 V15

Calculating the length of the cross product of two vectors given information about the vectors

WIR2 20B M251 V7

Finding the limit of a three-dimensional vector function

WIR2 20B M251 V8

Finding a vector equation for the tangent line to a three-dimensional vector function

WIR2 20B M251 V9

Finding the angle of intersection for two three-dimensional vector functions

WIR2 20B M251 V10

Finding the length of a three-dimensional curve

WIR2 20B M251 V12

Finding the position vector function given the velocity and an initial position

WIR3 20B M251 V9

Finding the partial derivatives of a function of two variables

WIR3 20B M251 V10

Finding the partial derivatives of a function of three variables

WIR3 20B M251 V11

Finding all second-order partial derivatives of a function of two variables

WIR4 20B M251 V5

Finding the maximum rate of change and the direction it occurs for a function of two variables

WIR5 20B M251 V4

Evaluating a double integral over a rectangle

WIR6 20B M251 V2

Evaluating a double integral by changing to polar coordinates

WIR6 20B M251 V3

Evaluating a double integral by changing to polar coordinates

WIR7 20B M251 V4

Using an iterated integral in spherical coordinates to find the volume of a solid

WIR7 20B M251 V5

Evaluating a triple integral for a given solid by writing an iterated integral in spherical coordinates

WIR8 20B M251 V1

Evaluating a line integral along half a circle

WIR8 20B M251 V6

Evaluating a line integral of a vector field along an curve

WIR9 20B M251 V2

Using Green's Theorem to evaluate a line integral on a closed curve

WIR9 20B M251 V6

Finding the curl and divergence of a three dimensional vector field

WIR10 20B M251 V1

Evaluating a surface integral over a cylinder

WIR10 20B M251 V9

Using the Divergence Theorem to evaluate the surface integral of a vector field

Generating and Plotting Sequences in Python

Using Python to numerically, graphically, and analytically find the limit of a sequence

Pythagorean Theorem

Explaining the Pythagorean Theorem and using it to find a missing side in a right triangle

Special Right Triangles Exercise 1

Special Right Triangles Exercise 1

Special Right Triangles Exercise 2

Special Right Triangles Exercise 2

Angles on the Unit Circle

Discussing the degree and radian measure of special angles on the unit circle

Quadrantal Angles

The coordinates for the quadrantal angles on the unit circle

First Quadrant of the Unit Circle

Finding the coordinates on the unit circle for the common angles in the first quadrant

Coordinates on the Unit Circle

Finding the coordinates on the unit circle for all the common angles

Degree and Radian Angle Measure

Defining radians for angle measure using the corresponding arc length on a unit circle

Degree and Radian Angle Measure Exercise 1

Converting an angle measured in degrees to radians

Degree and Radian Angle Measure Exercise 2

Converting angles measured in radians to degrees

How to Find Reference Angles

How to find reference angles for angles in standard position

What are Coterminal Angles?

Defining coterminal angles and how to determine if angles are coterminal

How to Draw an Angle in Standard Position

Drawing an angle in standard position

Coterminal and Reference Angles Exercise 1

Finding a negative and positive coterminal angle for a given angle

Coterminal and Reference Angles Exercise 2

Drawing an angle in standard position and finding its reference angle

Coterminal and Reference Angles Exercise 3

Drawing an angle in standard position and finding its reference angle

Coterminal and Reference Angles Exercise 4

Finding a coterminal angle along with its reference angle and graphing it

Coterminal and Reference Angles Exercise 5

Finding a coterminal angle along with its reference angle and graphing it

Math 304 Section 2.2 Exercise 2

Finding the values of \(\theta\) that makes a matrix with trig functions invertible

Math 304 Section 3.3 Exercise 9

Determining whether trigonometric functions are linearly independent

Math 304 Section 3.4 Exercise 5

Finding the dimension of the subspace spanned by a set of functions

WIR5 20B M150 V7

Using trigonometry to determine the height of a tree