# ANALYSIS TEST #2 Name

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```ACM3
Trig Basics Extra Review I
Name___________________
I. Write the letter corresponding to the most correct answer in the blank.
_____1. If cot θ = 1.9312, find θ in degrees.
A) 62.62
B) 27.38 C) .5178
D) .0337
E) .0090
_____2. If x is an angle and 450 < x < 540, the reference angle for
x is:
A) 540- x
B) 450- x
C) x - 450
D) x - 360
E) 180- x
_____3. If sin a = 5/13 and 90 < a < 180, find sec a.
A) -13/5
B) -12/13
C) -13/12
D) 12/13
E) 13/12
_____4. If sin x = k, which of the following must also be true?
1
k
D) sin (x) = k

k
2
E) 2  sin x = k
A) sec x =
B) cos x =

C) cos   x  = k
2

_____5. An arc of length 8 is subtended in a circle of radius 12.
What is the radian measure of the central angle ?
A)
2
3
B)
2
3
D)

3
E)
1
3
C)
1
3
12
8

_____6. If standard position angle  contains the point (8, 15), find csc .
A) 17/15
B) 15/17
C) 8/17
D) 8/15
E) 17/8
_____7. If the point (a, 2) lies on the terminal side of , find sec.
A)
a2  4
a
B)
a2  4
a
C)
2
a 4
2
D)
a4
2
E)
a4
a
_____8. If cot  = 1.2, find sin .
A)
5
61
B)
6
61
C)
6
11
D) 1
E) none of these
_____9. Evaluate: cot 5
A) .29581
B) .00349
C) .31148
D) 1.3734
E) 11.43
_____10. The minute hand of a clock has radius of 12". If the hand of the clock
moves 4 ", how many minutes have elapsed?
A) 8
B) 9
C) 10
D) 12
E) 15
_____11. The point (3, 4) lies on the terminal side of standard position angle .
Find .
A) 53.13
B) 36.87
C) 126.87
D) 143.13
E) 233.13
_____12. If k = Sin-1(m), then what is k?
A)
B)
C)
D)
E)
An x coordinate on the unit circle.
A y coordinate on the unit circle.
The reciprocal of an x coordinate on the unit circle.
The reciprocal of a y coordinate on the unit circle.
An angle.
_____13. The angle of elevation from the ground to the top of a tree 20 feet
away is 56, and the angle of elevation from the ground to the top of the
star on the tree is 58. What is the height of the star?
A) .3802'
B) .4471'
C) 2.355'
D) 9.505'
E) 14.681'
D) 4.325
E) 5.896
_____14. If csc  = 2.647 and  <  < 3/2, find .
A) .3874
B) 1.958
C) 3.529
```