Download Chapter 5 Test REVIEW

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Pre Calculus Chapter 5 Test REVIEW
Verify the identity.
sec θ sin θ
1)
-1=0
tan θ
2)
8) Find cos (2θ).
csc θ =
5
, θ lies in quadrant
3
II.
Write the expression as the sine, cosine, or tangent of a
double angle. Then find the exact value of the expression.
9) 2 cos275° - 1
1
1
=1
2
cos θ cot2 θ
Use trigonometric identities to find the exact value.
3) cos 15° cos 45° - sin 15° sin 45°
2 tan
10)
π
6
1 - tan 2
π
6
4) sin 250° cos 10° - cos 250° sin 10°
5)
tan 85° - tan (-35°)
1 + tan 85° tan (-35°)
Use a half-angle formula to find the exact value of the
expression.
5π
11) sin
12
Use the given information to find the exact value of the
expression.
2
6) Find tan (2θ). sin θ = , θ lies in quadrant I.
3
12) cos 22.5°
7) Find cos
α
.
2
sin α = -
21
, α lies in
29
quadrant IV.
1
13) tan 75°
18) sin x (cos x + 1) = 0
Use an identity to solve the equation on the interval [0, 2
π).
19) tan 2x - tan x = 0
Find all solutions of the equation.
14) 2 cos θ + 1 = 0
20) sin2 2x = 1
15) cos θ - 1 = 0
21) sin 2x + sin x = 0
Solve the equation on the interval [0, 2 π).
16) cos2 x + 2 cos x + 1 = 0
17) 2 sin2 x = sin x
22) cos 2x =
2
2 - cos 2x