Choose the correct options for the following questions.
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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