Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Text Solution
Verified by ExpertsThe correct answer is:
D
Putting a = tan θ , b = tan φ so,
sin –1 (2tan θ /1 + tan 2 θ ) + sin –1 (2 tan φ /1 + tan 2 φ ) = 2 tan –1 x
⇒ 2 ( θ + φ ) = 2 tan –1 x.
Hence x = tan ( θ + φ )
⇒ x = (tan θ + tan φ /1 – tan θ tan φ )
Substitute values 
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