Download Trig Test Review

Accelerated Math 3
Name__________________________
Unit 6: Identities Test Review
Find the following using trigonometric identities. Assume  is in
quadrant I.
1
1.
If sec  = 3, find tan .
2.
If cot  = , find sin .
5
3.
7
If csc  = , find sin .
5
4.
If csc  = 2, find cos .
6.
tan x  csc x
1  tan 2 x
Simplify.
5.
cos2x  tan x  csc x
Find the exact value using sum/difference or half-angle identities.
7.
sin 15
8.
tan 105
Prouve the following identités
(A)
cos2β∙tan2β + cos2β = 1 (B)
(D)
cos A
 sin A  tan A
cot 2 A
(E)
9.
11.
1  tan 2 x
 tan 2 x
2
1  cot x
1  cos A
sin A

sin A
1  cos A
(C)
sec 
 csc 
tan 
10.
12.
13.
If α and β are measures of two first quadrant angles, find the exact value
of each function.
13.
If sin α =
12
24
and cos β =
, find cos (α + β).
13
25
14.
If cos α =
3
8
and sin β =
, find tan (α – β).
5
17
15.
If csc α =
25
5
and sec β = , find sin (α – β).
7
4
If α and β are the measures of two first quadrant angles, and if sin α =
16.
12
, find the exact value of each of the following.
13
sin 2α
17. cos 2β
18.
tan
and cos β =
α
2
19.
Solve for values of  such that 0   < 360.
20. 4cos2 - 1 = 0
21.
22.
2sin2θ = sin  + 1
24. tan 3x = √3
sin
β
2
3 sec θ + 2 = 0
23.
2cos2 = cos 
25.
sin 2x = -√2/2
4
5