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Question

Question: Sin (2sin<sup>–1</sup> 0.8) =...

Sin (2sin–1 0.8) =

A

0.96

B

0.48

C

0.64

D

None of these

Answer

0.96

Explanation

Solution

sin (2 sin–1 0.8) = sin[sin1{2(0.8)1(0.8)2}]\left\lbrack \sin^{- 1}\left\{ 2(0.8)\sqrt{1 - (0.8)^{2}} \right\} \right\rbrack

= (1.6) 1.64\sqrt{1 - .64} = (1.6) (0.6) = 0.96