1.The value of tan−1[1−sinx+1+sinx1−sinx−1+sinx]\tan^{-1} \left[ \frac{\sqrt{1-\sin x}+\sqrt{1+\sin x}}{\sqrt{1-\sin x}-\sqrt{1+\sin x}} \right]tan−1[1−sinx−1+sinx1−sinx+1+sinx] (∀x∈[0,π/2]\forall x \in [0, \pi/2]∀x∈[0,π/2]) is equal toa.x2−π2\frac{x}{2} - \frac{\pi}{2}2x−2πb.x2+π2\frac{x}{2} + \frac{\pi}{2}2x+2πc.x2−π\frac{x}{2} - \pi2x−πd.π2−x2\frac{\pi}{2} - \frac{x}{2}2π−2xLogin to continueOnly logged in users canattempt or see the solution.
