Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The minimum value of (sin –1 x) 3 + (cos –1 x) 3 is equal to-
Text Solution
Verified by ExpertsThe correct answer is:
A
Let I = (sin –1 x) 3 + (cos –1 x) 3 = (sin
–1 x + cos –1 x) [(sin –1 x) 2 + (cos –1 x) 2
–(sin –1 x) (cos –1 x)]
= 
= 
= 
= 
Now, 
≥ sin –1 x – 
≥ – 
⇒ 
≥ 
≥ 0
Hence ( A ) is correct answer.
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