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The value of $\cos (2 \cos^{- 1} 0.8)$ , is

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0.48

0.96

0.6

0.28

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detailed solution

Correct option is D

We have, 2cos−1⁡x=cos−1⁡2x2−1⇒ 2cos−1⁡0.8=cos−1⁡(2×0.64−1)=cos−1⁡(0.28)⇒ cos⁡2cos−1⁡0.8=cos⁡cos−1⁡0.28=0.28

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The value of cos⁡2cos−1⁡0.8, is

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The value of $\cos (2 \cos^{- 1} 0.8)$ , is