Table of contents

Prepare for your exams

Upload your syllabus and get recommendations on what to study and when. No syllabus? Sharing your exam schedule works too.

Skip topic navigation

0. Fundamental Concepts of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
(0)

Multiplying Polynomials
(0)

Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

Pythagorean Theorem & Basics of Triangles
(0)

1. Equations and Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
(0)

Powers of i
(0)

Complex Numbers
(0)

Intro to Quadratic Equations
(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Choosing a Method to Solve Quadratics
(0)

Linear Inequalities
(0)

2. Graphs(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions & Graphs(0)

Intro to Functions & Their Graphs
(0)

Common Functions
(0)

Transformations
(0)

Function Operations
(0)

Function Composition
(0)

4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential and Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
(0)

The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Measuring Angles(0)

Angles in Standard Position
(0)

Coterminal Angles
(0)

Complementary and Supplementary Angles
(0)

Radians
(0)

8. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
(0)

Special Right Triangles
(0)

Cofunctions of Complementary Angles
(0)

Solving Right Triangles
(0)

9. Unit Circle(0)

Defining the Unit Circle
(0)

Trigonometric Functions on the Unit Circle
(0)

Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
(0)

Reciprocal Trigonometric Functions on the Unit Circle
(0)

10. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
(0)

Phase Shifts
(0)

Graphs of Secant and Cosecant Functions
(0)

Graphs of Tangent and Cotangent Functions
(0)

11. Inverse Trigonometric Functions and Basic Trig Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
(0)

Linear Trigonometric Equations
(0)

12. Trigonometric Identities (0)

Introduction to Trigonometric Identities
(0)

Sum and Difference Identities
(0)

Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
(0)

13. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
(0)

Area of SAS & ASA Triangles
(0)

14. Vectors(0)

Geometric Vectors
(0)

Vectors in Component Form
(0)

Direction of a Vector
(0)

Unit Vectors and i & j Notation
(0)

Dot Product
(0)

Cross Product
(0)

15. Polar Equations(0)

Polar Coordinate System
(0)

Convert Points Between Polar and Rectangular Coordinates
(0)

Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

16. Parametric Equations(0)

Graphing Parametric Equations
(0)

Eliminate the Parameter
(0)

Writing Parametric Equations
(0)

17. Graphing Complex Numbers(0)

Graphing Complex Numbers
(0)

Polar Form of Complex Numbers
(0)

Products and Quotients of Complex Numbers
(0)

Powers of Complex Numbers (DeMoivre's Theorem)
(0)

18. Systems of Equations and Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

19. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
(0)

Parabolas
(0)

Hyperbolas at the Origin
(0)

Hyperbolas NOT at the Origin
(0)

20. Sequences, Series & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

21. Combinatorics and Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

22. Limits & Continuity(0)

Introduction to Limits
(0)

Finding Limits Algebraically
(0)

Continuity
(0)

23. Intro to Derivatives & Area Under the Curve(0)

Tangent Lines & Derivatives
(0)

Limits at Infinity
(0)

Limits of Sequences
(0)

Area Under a Curve
(0)

9. Unit Circle

Reference Angles

9. Unit Circle

Reference Angles: Videos & Practice Problems

Video Lessons Practice Worksheet

20 problems

Problem 1Multiple Choice

Determine the exact value of the following expression without the help of the calculator. Write your answer as a single fraction.

sin (3π/2) cos (π/3) - cos (π/6) sin (3π/4)

views

Problem 2Multiple Choice

Determine the exact value of the following expression without the help of the calculator.

csc -5π/6

views

Problem 3Multiple Choice

Determine the exact value of the following expression without the help of the calculator.

tan 240°

views

Problem 4Multiple Choice

Calculate the measurement of the reference angle for 343°.

views

Problem 5Multiple Choice

Calculate the measurement of the reference angle for 541°.

views

Problem 6Multiple Choice

Determine the exact value of the following expression without the help of the calculator.

tan 150°

views

Problem 7Multiple Choice

List the six trigonometric function values of the following angle. Provide exact values. When necessary, rationalize the denominator.

1290°

views

Problem 8Multiple Choice

Evaluate the following trigonometric expression:

7 tan 45° + 2 cos 60° - cot² 225°

views

Problem 9Multiple Choice

What is the reference angle for an angle measuring 210 degrees?

views

Problem 10Multiple Choice

How do you calculate the reference angle for an angle of 135 degrees?

views

Problem 11Multiple Choice

If the reference angle for 240 degrees is 60 degrees, what is the sine of 240 degrees?

views

Problem 12Multiple Choice

Which trigonometric function is positive in quadrant 3?

views

Problem 13Multiple Choice

What does the mnemonic ASTC stand for in trigonometry?

views

Problem 14Multiple Choice

Which of the following angles is coterminal with 45 degrees?

views

Problem 15Multiple Choice

What is a coterminal angle for -30 degrees?

views

Problem 16Multiple Choice

If an angle of 720 degrees is coterminal with an angle on the unit circle, what is the sine of this angle?

views

Problem 17Multiple Choice

Using the unit circle, find the cosine of 11π/6.

views

Problem 18Multiple Choice

Which denominator is common for angles with a reference angle of 45 degrees in radians?

views

Problem 19Multiple Choice

What is the reference angle for an angle measuring 330 degrees?

views

Problem 20Multiple Choice

How do you calculate the reference angle for an angle of 225 degrees?

views

rank

Common Values of Sine, Cosine, & Tangent Practice Problems Reciprocal Trigonometric Functions on the Unit Circle Practice Problems

Helpful Calculators for These Questions

Trigonometry Calculator

Calculate trig values and solve right triangles in degrees or radians

Trigonometric Equations Solver

Solve common trigonometric equations step by step in degrees or radians

Unit Circle Calculator

Calculate sin, cos, tan, quadrant, reference angle, and unit circle coordinates

Coterminal Angles Calculator

Find coterminal angles in degrees or radians - with the general formula, principal angle, quadrant, and diagram

Download the Mobile app

Accessibility

Privacy

Do not sell my personal information