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Question: If sin<sup>–1</sup>![](https://cdn.pureessence.tech/canvas_295.png?top_left_x=0&top_left_y=836&width...

If sin–1 + sin–1= 2 tan–1x the x =

A

B

C

D

Answer

Explanation

Solution

Putting a = tan q, b = tan f so,

sin–1(2tanq/1 + tan2q) + sin–1(2 tan f/1 + tan2f) = 2 tan–1 x

Ž 2 (q + f) = 2 tan–1 x.

Hence x = tan (q + f)

Ž x = (tan q + tan f/1 – tan q tan f)

Substitute values