Download Math 1100: Section 6.4 SHORT ANSWER. Write the word or phrase

Math 1100: Section 6.4
SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.
14) tan
Use the information given about the angle , to find the
exact value of the indicated trigonometric function.
4
Find cos 2 .
1) sin = - , in quadrant IV
5
2) cos
=-
5
,
13
3) sec
=-
13
, sin
5
in quadrant II
>0
= 3,
<
<
17) cos 2t = sin t
Find tan 2 .
5) cos 4x = 2 cos2 2x - 1
6) sin 4x = 2 sin 2x cos 2x
Use the formulas to rewrite the expression that does not
contain trigonometric functions of power greater than 1.
7) cos4 x
8) sin4 x - cos4 x
Use half-angle formulas to find the exact value of each
expression.
9) sin 22.5°
8
11) tan 75°
Use the information given about the angle to find the
exact value of the indicated trigonometric function.
1
Find cos .
12) sin = , tan > 0
4
2
=
12
,
5
<
<
3
2
Find sin
2
2
.
Find all solutions of the equation in the interval [0, 2 ).
16) sin 2x + sin x = 0
Find sin 2 .
Verify the identity.
4) cos 3x = cos3 x - 3 sin2 x cos x
13) tan
Find tan
Verify the identity.
x
x 2
= 1 - sin x
15) cos - sin
2
2
18) tan 2x - tan x = 0
10) cos -
3
2
.
1