Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of real solution of tan –1 
+ sin –1 
= 
is–
Text Solution
Verified by ExpertsThe correct answer is:
C
Clearly, x(x + 1) ≥ 0 and x 2 + x + 1 ≤ 1. Together they imply x (x + 1) = 0.
∴ x = 0, –1.
When x = 0,
L.H.S. = tan –1 0 + sin –1 1 = 
.
When x = –1,
L.H.S. = tan –1 0 + sin –1 
= 0 + sin –1 1 = 
,
Thus two solution.
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