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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
The sum of solutions of the equation cos⁡x1+sin⁡x=∣tan⁡2x∣\frac{{\cos x}}{{1 + \sin x}} = \left| {\tan 2x} \right|, x∈(−π2,π2)−{π4,−π4}x \in \left( { - \frac{\pi }{2},\frac{\pi }{2}} \right) - \left\{ {\frac{\pi }{4}, - \left. {\frac{\pi }{4}} \right\}} \right. is
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Correct option: A
−11π30- \frac{{11\pi }}{{30}}
Option A (−11π30- \frac{{11\pi }}{{30}}) is correct because it is the sum of the solutions to the given equation within the specified interval.

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