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Chapter 4: Inverse Trigonometric Functions
- Online Test
Chapter 4: Inverse Trigonometric Functions
TEST : 2
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q1.
If the function
f
(
x
)
=
sin
−
1
(
x
2
−
3
)
, then
x
belongs to
A.
[-1,1]
B.
[√2,2]
C.
[-2-√2]U[√2,2]
D.
[-2,- √2]
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q2.
If cot
−
1
2 and cot
−
1
3 are two angles of a triangle, then the third angle is
A.
π/4
B.
3π/4
C.
π/6
D.
π/3
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q3.
Then
x
is a root of the equation
A.
x
2
−
x
− 6 = 0
B.
x
2
−
x
−12 = 0
C.
x
2
+
x
−12 = 0
D.
x
2
+
x
− 6 = 0
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q4.
sin
−
1
(
2 cos
2
x
−
1
)
+
cos
−
1
(
1
−
2 sin
2
x
)
=
A.
π/2
B.
π/3
C.
π/4
D.
π/6
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q5.
If
then cos 2
u
is equal to
A.
tan
2
α
B.
0
C.
-1
D.
tan 2α
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q6.
If |x| ≤ 1 , then 2tan
-1
x - sin
-1
2
x
/ (1+
x
2
) is equal to
A.
tan
-1
x
B.
sin
-1
x
C.
0
D.
π
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q7.
The equation tan
-1
x
- cot
-1
x
= tan
-1
( 1/√3) has
A.
no solution
B.
unique solution
C.
two solutions
D.
infinite number of solutions
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q8.
If
, then
x
is equal to
A.
1/2
B.
1/√5
C.
2/√5
D.
√3/2
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q9.
If
then the value of
x
is
A.
4
B.
5
C.
2
D.
3
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 4: Inverse Trigonometric Functions
# TN 12th Maths
Prepare / Learn
Q10.
sin(tan
−
1
x
), |
x
|
<
1 is equal to
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
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