The value of sin left(2 sin ^{-1} 0.8right) i | vedclass

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Question

(B) Given that,$\sin \left(2 \sin ^{-1} 0.8ight)$.Let $\sin ^{-1} 0.8 = 	heta$,which implies $\sin 	heta = 0.8$.Since $\cos^2 	heta = 1 - \sin^2

Vedclass · Accepted Answer

$0.96$

Vedclass · Answer

(B) Given that,$\sin \left(2 \sin ^{-1} 0.8ight)$.Let $\sin ^{-1} 0.8 = 	heta$,which implies $\sin 	heta = 0.8$.Since $\cos^2 	heta = 1 - \sin^2 	heta$,we have $\cos 	heta = \sqrt{1 - (0.8)^2} = \sqrt{1 - 0.64} = \sqrt{0.36} = 0.6$.Using the trigonometric identity $\sin 2	heta = 2 \sin 	heta \cos 	heta$,we substitute the values:$\sin 2	heta = 2 	imes 0.8 	imes 0.6$.$\sin 2	heta = 1.6 	imes 0.6 = 0.96$.Thus,the value is $0.96$.

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

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