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<html><body><h2 id="content-id-6128739450-2"><b>Trigonometry Questions Overview</b></h2><p>Trigonometry Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Trigonometry Questions.</p><h2 id="content-id-5289361740-3"><b>Question On Trigonometry </b></h2>If 2 × sin q × cos(90° – q) = 1/2, where 0° < q < 90°, then find the value of sin(2q) + cos(2q).
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 33 Seconds </h3></div></div><h2 id="content-id-7603281594-4"><b> Trigonometry Questions Options</b></h2><ol><li><p>(√2 - 1)/2 </p>
</li><li><p>(√3 - 1)/2</p>
</li><li><p>(√3 + 1)/2 </p>
</li><li><p>(√2 + 1)/2</p>
</li></ol> <h2 id="content-id-1546378092-5"><b> Trigonometry Questions Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>(√3 + 1)/2.</strong></p>

<p>2 × sin q × cos(90° – q) = 1/2</p>

<p>2 × sin q × sin q = 1/2</p>

<p>⇒ 2 sin<sup>2</sup>q = 1/2</p>

<p>⇒ sin<sup>2</sup>q = 1/4</p>

<p>⇒ sin q = 1/2</p>

<p>⇒ q = 30°</p>

<p>sin(2q) + cos(2q) = sin 60° + cos 60° = √3/2 + 1/2 = (√3 + 1)/2</p>
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If 2 sin q cos 90 - Trigonometry Questions for Ssc Chsl

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