Problem

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 a. π15\frac{\pi}{15} b. π12\frac{\pi}{12} c. 11π36\frac{11\pi}{36} d. 3π10\frac{3\pi}{10}

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