If sin^-1 ⁡x+ cos^-1 ⁡y= 2 5, then cos^-1 ⁡x+ sin^-1 ⁡y is

Question

Accepted Answer

Correct answer: B. (b) We have, sin^-1x+ cos^-1y= 2 5 ⇒ 2- cos^-1x+ 2- sin^-1y= 2 5 Using ( sin^-1x+ cos^-1x= 2) ⇒ - cos^-1x- sin^-1y= 2 5 ⇒ cos^-1 ⁡x+ sin^-1 ⁡y= 3 5

$If sin^{- 1} x + cos^{- 1} y = \frac{2 π}{5}, then cos^{- 1} x + sin^{- 1} y is$

Solution

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