Download ExamView - Unit 8 Review Sheet.tst

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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)
.
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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)
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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
.
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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
.
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