If x = ^ - 1 ( 10) and y = ^ - 1 ( 10), then y - x is equal to:

From the graph of $y = \sin^{- 1}$\left(sin x\right),$it is clear that$\sin^{- 1} ( \sin 10 ) = 3\pi - 10$<br /><br /><img src="https://cdn-question-pool.Quantrex.app/pyq/jee_main/iihagccbvavbobdwhplicjqnpvamweljhayqirxvazttvjlpzy.png" /><br /><br />From the graph of$y = \cos^{- 1} \left(cos x\right)$<br /><br />It is clear that$\cos^{- 1} \left(\cos 10\right) = 4\pi - 10$<br /><br />Hence$y - x = \left(4\pi - 10\right) - \left(3\pi - 10\right) = \pi