Questions

$\cos^{- 1} (\frac{15}{17}) + 2 \tan^{- 1} (\frac{1}{5}) =$

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π2

cos−1⁡171221

π4

cos−1⁡140221

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detailed solution

Correct option is D

We have, cos−1⁡1517+2tan−1⁡15= cos−1⁡1517+cos−1⁡1−1/251+1/25= cos−1⁡1517+cos−1⁡1213 =cos−11517×1213−1−151721−12132=cos−1⁡140221

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