Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 0 < x < 1, then tan –1 
is equal to:
A
cos − 1 x
B
cos − 1 
C
cos − 1 
D
sin − 1 x
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b)tan –1 
since 0 < x < 1 = tan –1 
(let cos –1 x = θ 0 < θ < 
)
= tan –1 tan 
∈ 
= 
= 
cos –1 x ....(1)
also cos θ = 2 cos 2 
– 1
cos 
= 
(taking cos –1 on both side)
cos –1 cos = 
= cos –1 
since 
∈ 
⇒ 
= cos –1 
...(2)
similarly sin 
= 
sin –1 sin 
= 
= sin –1 
...(3)
also 
= tan –1 
...(4)
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The function , where assumes its minimum value only at one point, if . Find .
2. If be two fixed positive integers such that for all real , then is a periodic function with …
3. The domain of the function , where the symbols have their usual meanings, is the set . Find nu…
If , then . Find .
, then is equal to . Find .
Let and be the roots of , then is equal to Find .