Quadrantal Angles
The coordinates for the quadrantal angles on the unit circle
Angles on the Unit Circle
Author: Hannah Solomon
This video covers the common angles on the unit circle that are used for trigonometry. Each angle is given in both degrees and radians.
See more videos from this section
Related Videos
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