Mathematics

Mathematics

Problem

If y=sin⁡−1(sin⁡αsin⁡x1−cos⁡αsin⁡x)y = \sin^{-1} \left( \frac{\sin \alpha \sin x}{1 - \cos \alpha \sin x} \right) , then y′(0)y'(0) is equal to a. 1 b. 2tan⁡α2 \tan \alpha c. (12)tan⁡α\left(\frac{1}{2}\right) \tan \alpha d. sin⁡α\sin \alpha

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