Question 21

Mathematics Trigonometric Equations Hard

If sin<sup>2</sup> x tan x + cos<sup>2</sup>&nbsp;x cot x - sin 2x = 1 + tan x + cot x, x&nbsp;ϵ (0, &pi;), then x

(A) <span class="math-tex">\(\frac {3\pi}{12}, \frac {5\pi}{12}\)</span>
(B) <span class="math-tex">\(\frac {5\pi}{12}, \frac {7\pi}{12}\)</span>
(C) <span class="math-tex">\(\frac {7\pi}{12}, \frac {11\pi}{12}\)</span>
(D) <span class="math-tex">\(\frac {7\pi}{12}, \frac {9\pi}{12}\)</span>
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Correct Solution: Option C

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