Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If f(x) = sin –1 x + cos –1 x + tan –1 x + cot –1 x + sec –1 x, then f(x) lies in the interval-
A
[ π , 2 π ]
B
( π , 2 π )
C
∪ 
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
f(x) = 
+ 
+ sec –1 x
But 0 ≤ sec –1 x ≤ π , sec –1 x ≠ 
∴ π ≤ f(x) ≤ 2 π , f(x) ≠ 
.
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