[ ( ^ - 1 3 4 ) ]^2 =

MCQ

${\left[ {\sin \left( {{{\tan }^{ - 1}}\frac{3}{4}} \right)} \right]^2} = $

A
$\frac{3}{5}$
B
$\frac{5}{3}$
✓
$\frac{9}{{25}}$
D
$\frac{{25}}{9}$

✓

Answer

Correct option: C.

$\frac{9}{{25}}$

c
(c)${\left[ {\sin \,\left( {{{\tan }^{ - 1}}\frac{3}{4}} \right)} \right]^2} = {\left[ {\sin \,\left( {{{\sin }^{ - 1}}\frac{3}{5}} \right)} \right]^2} = {\left( {\frac{3}{5}} \right)^2} = \frac{9}{{25}}$.

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