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WorksheetsChapter 9:1-3 Trig Practice
Total questions: 43
Worksheet time: 2hrs 34mins
Name
Class
Date
1.
Solve for a and b in the special right triangle.
a)
a = 5, b = 5
b)
a = 10, b = 10√2
c)
a = 10√2, b = 10√2
d)
a = 5√2, b = 5√2
2.
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
3.
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
4.
Solve for x and y in the special right triangle.
a)
y = 4, x = 4√3
b)
y = 4√2, x = 4√2
c)
y = 4 x = 12
d)
y = 8/√3, x = 16/√3
5.
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
6.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
7.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
8.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
9.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
10.
a)
1
b)
-1
c)
0
d)
√2/2
11.
a)
-½
b)
-1
c)
-√2/2
d)
-√3/2
12.
Evaluate cos(π/3)
a)
1/2
b)
√3 /2
c)
-1
d)
-1/2
13.
Evaluate sin(-30°)
a)
√3 / 2
b)
-1/2
c)
1/2
d)
-√3 / 2
14.
Based on your unit circle cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
15.
cos(30o)=
a)
1
b)
1/2
c)
(√3)/2
d)
(√2)/2
16.
For what angles are sine and cosine the same?
a)
0
b)
30
c)
45
d)
60
17.
sin 60° =
a)
1/2
b)
√2/2
c)
1
d)
√3/2
18.
Evaluate the trig expression without using a calculator
sin(360°)
a)
0
b)
1
c)
.5
d)
-1
19.
Evaluate the trig expression without using a calculator
sin(180°)
a)
0
b)
1
c)
.5
d)
-1
20.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
21.
Convert π/3 radians to degrees
a)
60⁰
b)
30⁰
c)
90⁰
d)
45⁰
22.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
What is the amplitude of y = 3 cos 2x?
a)
3
b)
2
c)
90
90⁰
90⁰
d)
350⁰
26.
Where does the graph of y = cos x begin?
a)
(0,0)
b)
(0,1)
c)
(0, Pi)
d)
(1, Pi)
27.
What is the equation of the graph?
a)
y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x
28.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
29.
What is the period
of
y = 3 sin 2x?
of
y = 3 sin 2x?
a)
2
b)
3
c)
180
d)
360
30.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
31.
What is the period?
a)
3π/4
b)
π/2
c)
2π/3
d)
π/3
32.
Which equation?
a)
y= sin(1/3x)
b)
y= (1/3)sinx
c)
y= 3sinx
d)
y= sin(3x)
33.
Which equation?
a)
y= cos2x
b)
y= (1/2)cosx
c)
y= cos(1/2)x
d)
y= 2cosx
34.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
35.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
36.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
37.
Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?
a)
13π/8 cm
b)
52π/9 cm
c)
π/9 cm
d)
9π/52
38.
What is the area of sector GPH?
a)
9π yd2
b)
32π yd2
c)
18π yd2
d)
6π yd2
39.
Find the area of the shaded sector of the circle.
a)
b)
c)
d)
40.
What is the reference angle for 125°?
a)
235°
b)
125°
c)
75°
d)
55°
41.
What is the reference angle for -30°?
a)
150°
b)
30°
c)
80°
d)
60°
42.
What is the reference angle for 275°?
a)
85°
b)
95°
c)
-85°
d)
-95°
43.
What is the reference angle?
a)
163
b)
73
c)
27
d)
107
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