First slide

Properties of ITF

Question

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

Easy

A

$\sin {1.2}^{0}$
B

$\sin {1.6}^{0}$
C

0.48
D

0.96

Solution

$\sin [2 \sin^{- 1} (0.8)]$ $= \sin [\sin^{- 1} {2 \times 0.8 \sqrt{1 - {(0.8)}^{2}}}]$
$= \sin (\sin^{- 1} 0.96) = 0.96$

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