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Trigonometry Review
Test Description: Chapter 14 review.
Instructions: Answer all questions to get your test result.
1) Write an equation for a sine function with an amplitude of 7 and a period of 4.
A
y = 4 sin (pi/7)
B
y = 7 sin 4x
C
y = 4sin 7x
D
y = 7 sin (pi/2)
2) Write an equation for a cosine functions with an amplitude of 5 and a period of 2pi.
A
y = 5 cos 2pi x
B
y = 2 cos 2x
C
y = 2 cos x
D
y = 5 cos x
3) Find the amplitude of y = -4 cos 3x
A
-4
B
4
C
3
D
2
4) Find the period of y = -4 cos 3x
A
2/3
B
pi / 3
C
2pi / 3
D
3
5) Write an equation that shifts the function y = 6 sin x horizontally 4 units to the left and vertically up 4 units.
A
y = 6 sin(x + 4) + 4
B
y = 6 sin(x - 4) + 4
C
y = 6 sin(x +4) - 4
D
y = 6 sin(x - 4) - 4
6) Given that csc x = 5/4, find the value of cos x.
A
4/3
B
4/5
C
5/4
D
3/5
7) Given cos x = 3/5 and sin x = 4/5 find the value of tan x.
A
5/3
B
3/4
C
5/4
D
4/3
8) Given that tan x = -4/3, find the value of cot x.
A
5/4
B
3/4
C
-3/4
D
-5/4
9) Simplify cot x sin x
A
sin x
B
cot x
C
cos x
D
tan x
10) Simplify tan x cos x csc x
A
sec x
B
sin x
C
cos x
D
1
11) Simplify (1 - cos2 x )csc x
A
sin2 x
B
sin x
C
sec x
D
csc x
12) Solve for x when 2 sin x = 1
A
.52
B
60
C
45
D
30
13) Solve for x when 8 cos2 x = 2
A
1.05
B
60
C
45
D
30
*select an answer for all questions
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