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WorksheetsInverse Trig Functions Practice
Total questions: 50
Worksheet time: 4hrs 10mins
Name
Class
Date
1.
sin-1(-1/2)
a)
π/3
b)
π/6
c)
5π/6
d)
-π/6
2.
cos-1(√(3)/2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
3.
tan(sin-1(-1/2))
a)
√3
b)
√3/3
c)
-√3
d)
-√3/3
4.
csc(cos-1(√(3)/2))
a)
2
b)
-2
c)
2√3/3
d)
-2√3/3
5.
sec-1(-2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
6.
tan-1(√(3))
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
7.
csc-1(-√(2))
a)
π/4
b)
3π/4
c)
-π/4
d)
-3π/4
8.
cos-1(tan(-π/4))
a)
0
b)
π
c)
π/4
d)
3π/4
9.
sin-1(-1) =
a)
π/2
b)
0
c)
-1
d)
-π/2
10.
cos-1(0) =
a)
π/2
b)
π
c)
1
d)
none of these
11.
sin(cos-1(0))=
a)
0
b)
1
c)
π/2
d)
π
12.
sin-1(√(2)/2) =
a)
π/4
b)
π/3
c)
π/2
d)
π
13.
tan(cos-1(-1))=
a)
undefined
b)
0
c)
½
d)
1
14.
tan(sin-1(1))=
a)
undefined
b)
0
c)
½
d)
1
15.
tan(sin-1(-1/2))=
a)
√(3)
b)
√(3)/3
c)
-√(3)
d)
-√(3)/3
16.
cos-1(- √(3)/2) =
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
17.
tan-1(-√(3))=
a)
π
b)
-π/6
c)
-π/3
d)
-π/4
18.
What range of angles for inverse cosine?
a)
[0, π]
b)
[0, 2π]
c)
[-π/2, π/2]
d)
[π/2, 3π/2]
19.
What is the range of angles for inverse sine?
a)
[0, π]
b)
[0, 2π]
c)
[-π/2, π/2]
d)
[π/2, 3π/2]
20.
What is the range of angles for inverse tangent?
a)
(0, π/2)
b)
(-π/2, π/2)
c)
(0, π)
d)
(0, 2π)
21.
a)
π/3
b)
π/6
c)
2π/3
d)
5π/6
22.
a)
π/3
b)
π/4
c)
3π/4
d)
7π/4
23.
a)
0
b)
π/2
c)
2π
d)
π
24.
cos-1(0) =
a)
π/2
b)
π
c)
1
d)
3π/2
25.
a)
3π/4
b)
π/4
c)
-π/4
d)
-3π/4
26.
arccos (-√3/2)
a)
5π/6
b)
7π/4
c)
-√3/2
d)
-5π/6
27.
arcsin(0)
a)
0
b)
1
c)
1/2
d)
3/2
28.
cos-1(√3/2) =
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
29.
a)
π/6
b)
5π/6
c)
7π/6
d)
-π/6
30.
a)
pi/2
b)
0
c)
pi
d)
-pi/2
31.
sin-1(-π) =
a)
π
b)
0
c)
-1
d)
undefined
32.
a)
2π/3
b)
π/3
c)
3π/2
d)
π
33.
tan-1(-√3/3)=
a)
π/3
b)
2π/3
c)
-π/6
d)
-π/3
34.
sin(arctan(1/2))
a)
1/2
b)
√5/5
c)
2√5/5
d)
√5/2
35.
Evaluate: sin-1(cos π/3)
a)
π/6
b)
π/3
c)
1/2
d)
√3/2
36.
Evaluate: sin(arcsin √3/2)
a)
π/6
b)
π/3
c)
√3/2
d)
Not enough information
37.
tan-1(sin(3π/2))
a)
0
b)
π/4
c)
-π/4
d)
1
38.
Evaluate: cos-1(√3/2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
39.
Evaluate: Csc-1(-√2)
a)
π/4
b)
3π/4
c)
-π/4
d)
-3π/4
40.
Which of these is not the same?
a)
sin-1 (0)
b)
cos-1 (1)
c)
tan-1(1)
d)
sec-1(1)
41.
What is arccos(0) ?
a)
½π, 90⁰
b)
π, 180⁰
c)
1
d)
none of these
42.
What is sin(arccos0)?
a)
0
b)
1
c)
½π, 90⁰
d)
π, 180⁰
43.
What is tan(sin-1(1))?
a)
undefined
b)
0
c)
½
d)
1
44.
What is tan(cos-1(-1))?
a)
undefined
b)
0
c)
½
d)
1
45.
Where is tangent undefined?
a)
...-½π, ½π,...
b)
...,0, π,...
c)
...,-¼π,¼π,...
d)
tangent is defined everywhere
46.
Which of these has the same value as sec-1(2)?
a)
cos-1(2)
b)
cos-1(½)
c)
sin-1(½)
d)
csc-1(2)
47.
Evaluate csc-1(2)
a)
-⅓π, -60⁰
b)
⅓π, 60⁰
c)
⅔π, 120⁰
d)
⅙π, 30⁰
48.
Evaluate sec-1(-2)
a)
-⅓π, -60⁰
b)
⅓π, 60⁰
c)
⅔π, 120⁰
d)
⅙π, 30⁰
49.
Which of these has the same value as cot-1(3)?
a)
tan (3)
b)
cot (⅓)
c)
tan-1(⅓)
d)
3 tan-1(⅓)
50.
What is cos-1(½)?
a)
¼π, 45⁰
b)
⅓π, 60⁰
c)
½π, 90⁰
d)
π, 180⁰
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