First slide

Properties of ITF

Question

The value of $\sin (2 \sin^{- 1} (0.8))$ is equal to

Moderate

A

$\sin 1.2 °$
B

$\sin 1 . 6^{0}$
C

$0.48$
D

$0.96$

Solution

We have,
$\sin \{2 \sin^{- 1} (0.8)\}$
$\begin{array}{l} = \sin \{\sin^{- 1} (2 \times 0.8 \sqrt{1 - (0.8)^{2}})\} \\ = \sin (\sin^{- 1} 0.96) = 0.96 \end{array}$

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