Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The value of sin cot –1 (tan (cos –1 x)) is equal to-
A
x
B
C
1
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Let cos –1 x = θ ⇒ x = cos θ ⇒ sec θ = 1/x
⇒ tan θ = 
= 1/x 
Now sin cot –1 tan θ = sincot –1 ( 
)
put x = sin θ sin cot –1 ( 
)
= sin cot –1 [ 
]
= sin cot –1 (cot θ ) = sin θ = x
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