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WorksheetsTrigonometry 1 LC HL
Total questions: 22
Worksheet time: 54mins
Name
Class
Date
1.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
2.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
3.
Write down the mid-line equation
(a)
4.
a)
f(x) = sin (1/3x)
b)
f(x) = sin (3x)
c)
f(x) = 3 cos x
d)
f(x) = 3 sin x
5.
The __________ represents half the distance between the max and min of a sine or cosine graph.
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
6.
What is the period of this equation?
y = -5sin(3x)
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
7.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
R: [-π, π]
c)
D: (∞, -∞)
R: [1, -1]
R: [1, -1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
R: [-∞, ∞]
8.
Which function below matches this graph?
a)
3+sin(x)
b)
3sin(x)
c)
sin3(x)
d)
sin(x-3)
9.
Find sin θ in this triangle.
a)
125
b)
135
c)
1312
10.
If tan θ = 3, find θ to the nearest degree.
a)
0.05
b)
19.08
c)
71.57
11.
Calculate the area of XYZ in cm2 .
( Area = 21ab sin C )
a)
16.19
b)
20.52
c)
56.38
12.
What is the reference angle of 240°?
a)
30
b)
45
c)
60
d)
90
13.
What is the reference angle for 210o?
a)
30o
b)
45o
c)
60o
d)
150o
14.
Solve for AC.
a)
A. 13.55 cm
b)
B. 14.39 cm
c)
C. 11.44 cm
d)
D. 12.47 cm
15.
Using the unit circle. In which quadrant on the unit circle is sine positive?
a)
A. I and II
b)
B. II and III
c)
C. III and IV
d)
D. I and III
16.
If cos x = 1/2, find all possible values of x where 0<x<360.
a)
A. 60o and 300o
b)
B. 30o and 150o
c)
C. 30o and 330o
d)
D. 60o and 120o
17.
What is the exact value of sin(120o)?
a)
A. √2/2
b)
B. -√2/2
c)
C. -√3/2
d)
D. √3/2
18.
Find AC
a)
12
b)
10
c)
23
d)
14
19.
Use the Law of Cosines to find the value of x.
a)
41.7
b)
51.7
c)
61.7
d)
71.7
20.
Find the measure of the indicated angle.
a)
38
b)
40
c)
50
d)
26
21.
Convert 4π rad into degree ?
a)
30
b)
45
c)
60
d)
90
22.
Find the trigonometric ratio of tan(−150°) ?
a)
31
b)
−3
c)
1
d)
33
e)
33
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