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Question

Mathematics Question on Trigonometric Functions

The sum of solutions of the equation coscosx1+sinx\frac{cos\,x}{1+sin\,x}=|tan 2x|,x\in(π2,π2-\frac{\pi}{2},\frac{\pi}{2})-(π4,π4-\frac{\pi}{4},\frac{\pi}{4}) is:

A

11π6-\frac{11\pi}{6}

B

π10\frac{\pi}{10}

C

7π30-\frac{7\pi}{30}

D

π15-\frac{\pi}{15}

Answer

11π6-\frac{11\pi}{6}

Explanation

Solution

The correct answer is option (A) : 11π6-\frac{11\pi}{6}