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Trigonometry Praxis Prep

Total questions: 23

Worksheet time: 46mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
What is the value of cosine at 0
a)
0
b)
1/2
c)
1
d)
√3 / 2
3.
What is the value of cosine at 270
a)
0
b)
1
c)
-1
4.
What is the value of cosine at 315
a)
0
b)
1
c)
√2 / 2
d)
-√2 /2
5.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
6.
cosθ is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 1st and 4th quadrants
d)
the 2nd and 3rd quadrants
7.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
8.
cot 3π/4
a)
-√2/2
b)
-1
c)
1
d)
√2/2
9.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
10.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
c)
what's the difference?
d)
it's all waves to me
11.
What is the period of
y=cos(3x - π) - 5?
a)
π/3
b)
π/6
c)
2π/3
d)
2π/6
12.
Where is the midline for
y=2cos(1/3x +π/6) +2
a)
1/3
b)
-2
c)
+2
d)
4
13.
What is the equation of graph? 
a)
y = sin 5x
b)
y =  cos 5x
c)
y = 5 sin x
d)
y = 5 cos x 
14.
find X
a)
52
b)
33
c)
41
d)
29
15.
a)
6.99
b)
6.33
c)
13.59
d)
7.83
16.

Find angle Z

a)

20.145 degrees

b)

71.232 degrees

c)

51.055 degrees

d)

57.713 degrees

17.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

44 feet

c)

81 feet

d)

185 feet

18.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
19.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
20.
Simplify
a)
csc²θ
b)
sec²θ
c)
cscθ
d)
1
21.
Solve
cos2θ = ½ 
on θ∈[0, 2π)
a)
θ = π /4, 7π /4
b)
θ = π /4, 3π /4
c)
θ = 3π /4, 5π /4
d)
θ = π /4, 3π /4, 5π /4, 7π /4
22.
2 sinθ+3=2
a)
π/6,2π/3
b)
7π/6 
c)
7π/6, 11π/6
23.
Solve on the domain [0, 2π)
4sin2x = 3
a)
π/6, 11π/6
b)
π/3, 2π/3
c)
π/6, 5π/6, 7π/6, 11π/6
d)
π/3, 2π/3, 4π/3, 5π/3