Question

Number of solutions of the equation tan⁻1(1+x)+tan⁻1(1-x)=(π)/(2) are:

• A. 3
• B. 2
• C. 1
• D. 0

Hint:

Check domain while using inverse trigonometric identities.

Answer 1

The Correct Option is C

Step 1: Use identity: tan⁻1a+tan⁻1b=(π)/(2)⟹ ab=1
Step 2: (1+x)(1-x)=1 ⟹ 1-x²=1 ⟹ x=0