Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name: ________________________ Class: ___________________ Date: __________ ID: A Pre-Calculus Unit 8 Review Sheet - Trigonometric Identities, Proofs, and Equations 1. WITHOUT A CALCULATOR: Find the values of the trigonometric functions of from the information given. cos 15 , tan 0 17 (a) sin (b) tan (c) csc (d) sec (e) cot 2. (a) (b) (c) (d) (e) (f) . 1 Name: ________________________ ID: A 3. In each case, find the degree measure of a rotation angle that matches the given description. Use a calculator to help you find the missing angle(s). (a) (b) (c) (d) . 4. WITHOUT A CALCULATOR: Verify the following identities. (a) (b) 2 Name: ________________________ ID: A 5. WITHOUT A CALCULATOR: Simplify the following trigonometric expression. (a) cos x sec x cot x (b) tan x cos x csc x (c) csc x cot x sin x tanx (d) sin(z) + cos(–z) + sin(–z) (e) sec 3 x tan 2 x sec x (f) sinx tanx cos x . 3 Name: ________________________ ID: A 6. WITHOUT A CALCULATOR: Find all solutions of the equation in the interval [0 , 2 ). (a) 2 sin x 1 0 (b) (tan x 1)(sinx 1) 0 (c) cosx sinx – 2 cos x = 0 (d) 2 cos x tanx sin x csc x 0 . 7. WITHOUT A CALCULATOR: Find all solutions of the following equation in the interval [0 , 2 ). (a) 2 cos 2 x 1 0 (b) sin 2 x = 2 sin x + 3 . 4