If , where , then…

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If y=cos⁡−1(5cos⁡x−12sin⁡x13)y = \cos^{-1}\left(\frac{5 \cos x - 12 \sin x}{13}\right), where x∈(0,π2)x \in \left(0, \frac{\pi}{2}\right), then dydx\frac{dy}{dx} is (a) 1 (b) -1 (c) 0 (d) none of these

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