Name: __________________
1
Is Class:
2
= 0 a solution of 6 cos a. yes
Date: _____________
7 cos = 0 ?
b. no
Problem code:
copc06.08.04.01m
2
Is x =
2
5
4
a solution of tan x a. yes
3 tan x + 2 = 0 ?
b. no
Problem code:
copc06.08.04.03m
3
Determine all solutions of the equation.
sin =
3
2
a. = 2
3
+ 2 k
c. = b. = 5
3
+ 2 k
d. = 2 k
c. = d. = 3 + 2 k
4
3
+ 2 k
e. = 4
3
+ 2 k
f. no solution
Problem code:
copc06.08.04.06m
4
Determine all solutions of the equation.
cos =
Problem code:
copc06.08.04.10m
PAGE 1
2
2
a. = 5
4
b. = 2 k
+ 2 k
4
+ 2 k
e. = 7
4
f. no solution
+ 2 k
Name: __________________
5
Class:
Date: _____________
Determine all solutions of the equation.
tan 3 = 0
a. = 11
6
b. = + 2 k
+ k
6
c. = 7
4
d. = 4
+ 2 k
+ k
e. = 2
3
f. = 3
+ k
+ k
Problem code:
copc06.08.04.12m
6
Determine all solutions of the equation.
2
2 sin x a.
b.
sin x + 2 k
4
5
6
+ 2 k
1= 0
c.
11
6
+ 2 k
e.
d.
21
6
+ 2 k
f.
7
6
2
+ 2 k
g. no solution
+ 2 k
Problem code:
copc06.08.04.14m
7
Determine all solutions of the equation.
cos + 3 sec = 4
Problem code:
copc06.08.04.18m
PAGE 2
a. = 2 k
b. = 5
3
+ 2 k
c. = d. = 11
6
2
+ 2 k
+ 2 k
e. = + 2 k
f. no solution
g. no solution
Name: __________________
8
Class:
Date: _____________
Determine all solutions of the equation.
2
cot x 2
csc x + 1 = 0
a. x =
2
3
+ k
c. x =
b. x =
5
6
+ k
d. x =
6
2
+ k
e. x =
+ k
f. x =
3 + k
4
3
g. no solution
+ k
Problem code:
copc06.08.04.20m
9
Use a calculator to find all solutions in the interval (0 , 2 ) .
cos x = 0.169
a. x 1.01 and x b. x 1.40 and
4.88
x 5.27
c. x 0.17 and x d. x 0.17 and
6.11
x 2.97
e. x x 1.40 and
1.74
f. no solution
Problem code:
copc06.08.04.25m
10
Use a calculator to find all solutions in the interval (0 , 2 ) . Round your answer to two decimal places.
tan x = 8
a. x 1.45 and x b. x 0.12 and
3.29
x Problem code:
copc06.08.04.29m
PAGE 3
3.27
c. x 0.12 and x d. x 1.45 and
4.59
x 3.27
e. x x 0.15 and
3.29
f. no solution
Name: __________________
11
Class:
Find all solutions in the interval 0
2
5 sin + 6 sin a. b. Problem code:
copc06.08.04.42m
PAGE 4
Date: _____________
360 .
8 = 0
53.13 , and
306.87
c. 0.64 , and
360.64
d. 179.07 , and
359.07
53.13 , and
126.87
e. 179.07 , and
306.87
f. no solution
ANSWER KEY
Homework 8.4 Math 3 Fall 2006, Bauerle
1. b
2. a
ANSWER KEY 3. a,c
Page 1
4. c,e
5. b
6. c,e,f
7. e
8. b,c
9. b
10. d
11. d