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WorksheetsTrigonometry Review Units #1 - 3
Total questions: 15
Worksheet time: 38mins
Name
Class
Date
1.
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees
2.
Convert to degrees: 5π/2
a)
100°
b)
1000°
c)
450°
d)
270°
3.
tan 2π
a)
0
b)
1
c)
-1
d)
undefined
4.
Evaluate tan (3π / 4)
a)
1
b)
undefined
c)
-1
d)
0
5.
A ceiling fan with 16 inch blades rotates at 45 rpm. Find the angular velocity of the fan in rad/min. Round to the nearest tenth.
a)
90 rad/min
b)
282.7 rad/min
c)
45 rad/min
d)
141.4
6.
Calculate the length of an arc with radius 15 cm and central angle of 30°.
a)
450 cm
b)
5π/2 cm or ≈ 7.9 cm
c)
225 cm
d)
5π/4 cm or ≈ 3.9 cm
7.
Which quadrant does the terminal side of the angle of 230⁰ lie when it is in standard position?
a)
I
b)
II
c)
III
d)
IV
8.
Let (-4, 3) be a point on the terminal side of θ. What is tan θ?
a)
-4/5
b)
-3/4
c)
3/5
d)
4/5
9.
Let (12,-5) be a point on the terminal side of θ.
What is Cos ø?
a)
13/12
b)
12/13
c)
-5/13
d)
-5/12
10.
let (-3,-3) be a point on the terminal side of θ.
What is cot θ?
a)
1
b)
2
c)
3
d)
Not me
11.
If θ is an angle in Quadrant II, which trig ratios will be positive
a)
sin θ
b)
cos θ
c)
tan θ
d)
cos θ and sin θ
12.
If cosθ = 4/7 and θ is in Q I, find tan θ.
a)
√33 / 4
b)
4√33 / 33
c)
7 /4
d)
√65 / 4
13.
If sinθ = 3 / 5 and θ is in Q II, find tan θ.
a)
3 / 4
b)
-3 / 4
c)
4 / 3
d)
- 4 / 3
14.
If the point (-2, 3) lies on the terminal side of an angle θ, find the value of cosθ
a)
-2√13 / 13
b)
√13 / -2
c)
-2√5 / 5
d)
-2 / 3
15.
In which quadrants is the sine function positive?
a)
1
b)
1,2
c)
2,3
d)
All
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