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Angles on the Unit Circle

Discussing the degree and radian measure of special 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

What are Coterminal Angles?

Defining coterminal angles and how to determine if angles are coterminal

WIR5 20B M150 V1

Converting degrees to radians

WIR5 20B M150 V2

Finding the radius of a circle using the area of a sector

Solving Equations Symbolically in Python

Solving equations symbolically in Python and interpreting the results

Trig Functions with the Unit Circle

Finding the values of trig functions with the unit circle

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

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

Trig Functions with the Unit Circle Exercise 6

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

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

How to Find Reference Angles

How to find reference angles for angles in standard position

The Graph of Sine

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

The Graph of Cosine

Using the unit circle to sketch the graph of the cosine 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

WIR5 20B M150 V4

Evaluating all six trigonometric functions for angles in degrees and radians

WIR7 20B M150 V09

Finding a vector given its length and angle with the positive x-axis

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 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

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 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

Derivatives and Applications: MATH 151 Problems 9-15

Tangent lines to parametric equations and related rates examples

MLC WIR 20B M151 week3 #06

Find the measure of an angle given the three vertices for the angle

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

Vector Functions: MATH 171 Problems 1 & 2

Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

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 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

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 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

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

Derivatives and Applications: MATH 151 Problems 9-15

Tangent lines to parametric equations and related rates examples

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

Pythagorean Theorem

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

Special Right Triangles

Explaining the special right triangles and the relationships between their sides

Special Right Triangles Exercise 1

Special Right Triangles Exercise 1

Special Right Triangles Exercise 2

Special Right Triangles Exercise 2

Transformations of Trig Graphs Exercise 1

Graphing a period of a transformed sine function

Transformations of Trig Graphs Exercise 2

Graphing a period of a transformed cosine function

Transformations of Trig Graphs Exercise 3

Writing the sine and cosine functions for a given graph

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

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

Deriving the Half-Angle Trig Identities

Using the double angle identities for cosein to derive the half-angle identities for sine and cosine

Using Identities to Find Exact Trig Values Exercise 1

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

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 2

Proving a trigonometric identity involving secant, cotangent, and tangent

Trigonometric Proofs Exercise 3

Proving a trig identity involving sine and cosine

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 3

Solving a trigonometric equation with secant by factoring

Solving Trigonometric Equations Exercise 4

Solving a trigonometric equation with tangent and sine by factoring

Solving Trig Equations Using Identities Exercise 1

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

Solving Trig Equations Using Identities Exercise 2

Solving a trig equation with sine and cosine using aPythagorean Identity

Solving Trig Equations Using Identities Exercise 3

Solving a trig equation with cotangent and cosecant using trig identities

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

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

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 V7

Using trigonometry to determine the height of a tree