Inverse… | NUST Entrance Test Mathematics

If $\sin^{-1}\frac{3}{5}+\sin^{-1}\frac{5}{3}=\sin^{-1}q$, then q=

Difficulty: Easy

A:

5/60

B:

\frac{\pi}{3}

C:

65/56

D:

56/65

$\sin[\frac{\pi}{2}-\sin^{-1}(\frac{-\sqrt{3}}{2})]$=

Difficulty: Easy

A:

1/2

B:

\frac{-\sqrt{3}}{2}

C:

\frac{1}{\sqrt{2}}

D:

\frac{-1}{\sqrt{2}}

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}

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