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If $\sec^{- 1} x = {cosec}^{- 1} y,$ then $\cos^{- 1} \frac{1}{x} + \cos^{- 1} \frac{1}{y} =$

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π4

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Correct option is D

We have, sec−1⁡x=cosec−1⁡y⇒cos−1⁡1x=sin−1⁡1y∴ cos−1⁡1x+cos−1⁡1y=sin−1⁡1y+cos−1⁡1y=π2

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If sec−1⁡x=cosec−1⁡y, then cos−1⁡1x+cos−1⁡1y=

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Ready to Test Your Skills?

free study material

If $\sec^{- 1} x = {cosec}^{- 1} y,$ then $\cos^{- 1} \frac{1}{x} + \cos^{- 1} \frac{1}{y} =$