## Transcribed Text

Find the exact value of the expression.
1) 77t 12 sin 57t 12 - cos 57t 12 sin 12
cos
1)
Complete the identity.
2) 3)
sin (a +
= ?
2)
COS a cos ß
A) tan ß + tan a
B) - -tan a + cot ß
C) tan a + tan ß
D) cot a + cot ß
Use the given information to find the exact value of the expression.
3
3) tan a = a lies in quadrant III, and cos ß = - lies in quadrant
II
Find sin (a + ß).
3)
Use the figure to find the exact value of the trigonometric function.
4) Find sin 20.
4)
29
21
e
20
Use the given information to find the exact value of the expression.
5) tan 0 = 15. 15 0 lies in
8
quadrant III
Find sin 20.
5)
Complete the identity.
6) 1
+ cos 2x
=
?
6)
sin 2x
A) tan X
B) cos2 X
C) sin² X
D) cot X
7) 8 sin X cos³ X + 8 sin 3 X COS X = ?
7)
A) 4 COS 2x
B) 4 sin 2x
C) 4 sin X
D) 4 cos X
Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions
greater
than
1.
8) sin4 X
8)
3
2 + cos 4x
013-2c0s2x+700 - + cos 4x
9) 3 sin² x cos² x
9)
3 4 3
B) 3 3 sin 2x
8 8 cos 4x
8 3 8 cos 2x
Use the given information to find the exact value of the trigonometric function.
10) cos 0 -1/ = CSC 0>0
Find sin
10)
Complete the identity.
11) cot , 2 0 = ?
11)
1 sin 0
sin 0
sin 0
sin 0
B)
C)
D)
+ cos 0
sin 0 + cos 0
1 - cos 0
sin 0 - cos 0
Express the product as a sum or difference.
12) sin 6x sin 2x
12)
Express the sum or difference as a product.
13) COS 4x + cos 2x
13)
Solve the equation on the interval [0, 2c.)
14) sin 4x Y/s = 2 3
14)
15) cos2
X
+ 2 cos X + 1 = 0
15)
Solve the equation on the interval [0, 2mc.
16) COS X + 2 cos X sin X = 0
16)
Solve the equation on the interval [0, 2mc.
17) cos 2x = - cos 2x
17)
Complete the identity.
sin X
cos X
18) + = ?
18)
cos X sin X
A) sec X CSC X
B) 1 + cot X
C) sin X tan X
D) -2 - tan2 X
19) =
19)
A) sin2x+1
B) cot2 X - 1
C) 1
D) cot2 X + 1
20)
COS X - sin X + sin X - COS X - ?
20)
COS X
sin X
A) 2 + sec X CSC X
B) 2 - sec X CSC X
C)
sec X CSC X
D) 1 - sec X CSC X

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