All values of such that are

MATHEMATICS · Multi correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

All values of x∈(0,π2)x\in\left(0,\frac{\pi}{2}\right) such that 3−1sin⁡x+3+1cos⁡x=42\frac{\sqrt{3}-1}{\sin x}+\frac{\sqrt{3}+1}{\cos x}=4\sqrt{2} are (1) π15\frac{\pi}{15} (2) π12\frac{\pi}{12} (3) 11π36\frac{11\pi}{36} (4) 3π10\frac{3\pi}{10}

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