Unit Circle, Identities & Word
Problems
150 Practice Problems with Full Solutions
Exam Prep Guide
Perfect for:
SAT • ACT • AP Calculus • High School Trigonometry
College Pre-Calculus
y
√ √ (0, 1) √ √
2 2 2 2
(− 2
, 2
) ( 2
, 2
)
◦
135◦ 90 45◦
(−1, 0)
180◦ 0◦ x
(1, 0)
Author: Rachid Ousalem
March 26, 2026
, Copyright © 2024 Rachid Ousalem
All rights reserved. No part of this book may be reproduced
without written permission from the author.
, Trigonometry Mastery
Rachid Ousalem ii/73
, Contents
Introduction 1
1 Unit 1: The Unit Circle & Basic Ratios 3
Solutions to Unit 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2 Unit 2: Trigonometric Identities 11
3 Unit 3: Trigonometric Equations 25
4 Unit 4: Graphs of Trigonometric Functions 37
5 Unit 5: Word Problems & Applications 51
Appendix: Formula Reference 61
iii