Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x) = (sin –1 x) 2 + (cos –1 x) 2 , then -
A
f(x) has the least value of 
B
f(x) has the greatest value of 
C
f(x) has the least value of 
D
f(x) has the greatest value of 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, d)
Let f(x) = (sin –1 x) 2 + (cos –1 x) 2 = 2 
+ 2 
Now, – 
≤ sin
–1 x ≤ 
⇒ 0 ≤ (sin –1 x – π /4) 2 ≤ 
Hence, range of the given function is 
.
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