If $\sin^{-1}\frac{1}{3}+\sin^{-1}\frac{2}{3}=\sin^{-1}P$, then value of P is

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If $\sin^{-1}\frac{1}{3}+\sin^{-1}\frac{2}{3}=\sin^{-1}P$, then value of P is

E

Editor

Sep 18, 2022

If $\sin^{-1}\frac{1}{3}+\sin^{-1}\frac{2}{3}=\sin^{-1}P$, then value of P is

Difficulty: Easy

A:

\frac{\sqrt{5}-4\sqrt{2}}{9}

B:

\frac{\sqrt{5}+4\sqrt{2}}{9}

C:

\frac{9}{\sqrt{5}+4\sqrt{2}}

D:

\frac{-5-4\sqrt{2}}{9}

ID: 63273db9ca83163ac3a1147b