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WorksheetsChapter 4; Trigonometric Functions
Total questions: 31
Worksheet time: 32mins
Name
Class
Date
1.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
2.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
3.
Solve for x and y in the special right triangle.
a)
x = 7, y = 7√2
b)
x = 14 y = 7√2
c)
x = 14√2 y = 7√2
d)
x = 14 y = 14√2
4.
Solve for u and v in the special right triangle.
a)
v = 9√3, u = 6√3
b)
v = 6√3 u = 9√3
c)
v = 9, u = 6√3
d)
v = 3√6, u = 6√3
5.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
6.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
7.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
8.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
9.
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. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
45 feet
c)
110 feet
d)
135 feet
10.
Find r and s.
a)
r = 9, s = 9√3
b)
r = 18, s = 9
c)
r = 9√3, s = 9
d)
r = 18, s = 9√3
11.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
12.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
13.
What are the negative and positive coterminal angles of -225 degrees?
a)
375°, -600°
b)
125°, -356°
c)
135°, -585°
d)
60°, -120°
14.
What is 360 degrees in radians?
a)
2π/3
b)
5π/4
c)
2π
d)
π
15.
What is 90 degrees in radians?
a)
π/4
b)
π/2
c)
π/6
d)
3π/2
16.
Find the measure of each angle
a)
a
b)
b
c)
c
d)
d
17.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
18.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
19.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
20.
a)
1
b)
-1
c)
0
d)
√2/2
21.
tanθ 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
22.
Which quadrant is -570⁰
a)
I
b)
II
c)
III
d)
IV
23.
Which angles have an undefined tangent?
a)
90
b)
180
c)
270
d)
0
24.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
25.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
26.
a)
b)
c)
d)
27.
Q: Mary’s father has 5 daughters – Nana, Nene, Nini, Nono. What is the fifth daughter's name?
a)
Nunu
b)
Dazlyn
c)
Mary
d)
Janet
28.
*
a)
csc x
b)
sec x
c)
cot x
d)
tan x
29.
What quadrant is x in if:
cos x >0
and
tan x < 0
cos x >0
and
tan x < 0
a)
I
b)
II
c)
III
d)
IV
30.
a)
sin 7pi/6
b)
cos 7pi/6
c)
sin 5pi/6
d)
cos 2pi/3
31.
secθ 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
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