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Question 22

Mathematics Trigonometric Equations Hard

If 0 &lt; x &lt;&nbsp;&pi; and cos x + sin x&nbsp;<span class="math-tex">\(= \frac 1 2,\)</span>&nbsp;then the value of tan x is

(A) <span class="math-tex">\(\frac {-4 - \sqrt 7} 3\)</span>
(B) <span class="math-tex">\(\frac {4 + \sqrt 7} 3\)</span>
(C) <span class="math-tex">\(\frac {1 + \sqrt 7} 4\)</span>
(D) <span class="math-tex">\(\frac {1 - \sqrt 7} 4\)</span>
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Correct Solution: Option A

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