Name: __________________
1
Class:
Date: _____________
Use the addition formulas for sine and cosine to simplify the expression.
sin 84 cos 24 cos 84 sin 24
Problem code:
copc06.08.01.04
2
Use the addition formulas for sine and cosine to simplify the expression.
cos 3u cos 2u + sin 3u sin 2u
Problem code:
copc06.08.01.06
3
Simplify the expression.
cos
2
a. sin
2
b. sin c. sin d. sin
e. cos
2
Problem code:
copc06.08.01.12m
4
Simplify the expression.
cos( )
a. sin b. cos c. sin d. cos Problem code:
copc06.08.01.14m
5
Use the formula for cos(s + t) to compute the exact value of cos 75 .
a.
b.
Problem code:
copc06.08.01.17m
PAGE 1
3
4
3 +
4
c.
2
d.
6 2
4
6 +
4
2
e.
3 2
4
e. 1
Name: __________________
Class:
t) to compute the exact value of sin .
12
Use the formula for sin(s 6
a.
6 +
4
b.
3
4
Date: _____________
2
c.
6 d.
3 2
e.
4
3 +
4
2
2
4
Problem code:
copc06.08.01.18m
Determine the exact value of sin 165
7
2
4
a. sin 165 = (
and cos 165 .
1)
3 (
3 + 1)
cos 165 =
2
2
(
3 + 1)
b. sin 165 =
2
4
(
3 1)
e. sin 165 =
2
4
(
3 + 1)
cos 165 = 2
4
(
3 + 1)
2
4
(
c. sin 165 = 2
4
(
3 + 1)
Suppose that cos
Compute sin 2
4
(
3 cos 165 = 1)
= 4 and 3 < < 2 .
5
2
.
Compute cos 2 . (Hint: cos 2 = cos( + ) .)
Problem code:
copc06.08.01.30
Use the given information to compute tan(s + t) and tan(s tan s = 6 and tan t = 4
Problem code:
copc06.08.01.37
PAGE 2
3 2
4
Problem code:
copc06.08.01.20m
9
(
cos 165 =
cos 165 =
8
2
2
d. sin 165 = t) .
3 1)
1)
ANSWER KEY
Homework 8.1 Math 3 Fall 2006, Bauerle
1.
3
2
2. cos ( u )
3.
b
6.
c
ANSWER KEY 7.
b
Page 1
8.
4.
3 ;
5
7
25
d
9. tan ( s+t ) =
5. c
10 ,tan s t = 2
( )
23
25