Chapter 4: Inverse Trigonometric Functions - Online Test
Q1. If the function f (x)
= sin−1 (x2 − 3) , then x belongs to
Answer : Option C
Explaination / Solution:
Q2. If cot−1 2 and cot−1 3 are two angles of a
triangle, then the third angle is
Answer : Option B
Explaination / Solution:
Q3. 
Then x
is a root of the equation
Then x
is a root of the equation
Answer : Option B
Explaination / Solution:
Q4. sin−1 (2 cos2 x −1) + cos−1 (1− 2 sin2 x) =
Answer : Option A
Explaination / Solution:
Q5. If 
then cos 2u is equal to
then cos 2u is equal to
Answer : Option C
Explaination / Solution:
Q6. If |x| ≤ 1 , then 2tan-1
x - sin-1 2x/ (1+ x2) is equal to
Answer : Option C
Explaination / Solution:
Q7. The equation tan-1x
- cot-1 x = tan-1 ( 1/√3) has
Answer : Option B
Explaination / Solution:
Q8. If 
, then x is
equal to
, then x is
equal to
Answer : Option B
Explaination / Solution:
Q9. If 
then the value of x
is
then the value of x
is
Answer : Option D
Explaination / Solution:
Q10. sin(tan−1 x), | x |<1 is equal to
Answer : Option D
Explaination / Solution:
