If y=x√a2−1−2√a2−1tan−1(sinxa+√a2−1+cosx) where a∈(� – InterviewSolution

1.	If y=x√a2−1−2√a2−1tan−1(sinxa+√a2−1+cosx) where a∈(−∞,−1)∪(1,∞), then y′(π2) is equal to
Answer» If $y = \frac{x}{\sqrt{a^{2} - 1}} - \frac{2}{\sqrt{a^{2} - 1}} {tan}^{- 1} (\frac{sin x}{a + \sqrt{a^{2} - 1} + cos x})$ where $a \in (- \infty, - 1) \cup (1, \infty),$ then $y^{'} (\frac{π}{2})$ is equal to

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