$$cos$$−$$1$$⁡a−xa−$$b=$$$$sin$$−$$1$$⁡x−ba−b is possible if

Correct option is 1a > x > b or a < x < b

Questions

$\cos^{- 1} \sqrt{\frac{a - x}{a - b}} = \sin^{- 1} \sqrt{\frac{x - b}{a - b}}$ is possible if

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a > x > b or a < x < b

a = x = b

a > b and x takes any value

a < b and x takes any value

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detailed solution

Correct option is A

LHS and RHS of the given equation are defined if x−ba−b>0 and x−ba−b>0∴ either a > x > b or a < x < b

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cos−1⁡a−xa−b=sin−1⁡x−ba−b is possible if

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$\cos^{- 1} \sqrt{\frac{a - x}{a - b}} = \sin^{- 1} \sqrt{\frac{x - b}{a - b}}$ is possible if