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<html><body><h2 id="content-id-7832496510-2"><b>Trigonometry Questions Overview</b></h2><p>Trigonometry Questions have a good weightage in the SSC CGL English Exam and the type of question asked in SSC CGL English 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-5136279840-3"><b>Question On Trigonometry </b></h2>Simplify: [{sin8(	heta) - cos8(	heta)} × (rac{1}{sin^4	heta + cos^4	heta})] + 2cos2(	heta)
<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 : 31 Seconds </h3></div></div><h2 id="content-id-1309768542-4"><b> Trigonometry Questions Options</b></h2><ol><li><p>0</p>
</li><li><p>−1</p>
</li><li><p>1</p>
</li><li><p>2</p>
</li></ol> <h2 id="content-id-8176340952-5"><b> Trigonometry Questions Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>1.</strong></p>

<p>[{sin<sup>8</sup><span class="math-tex">\(\theta\)</span> - cos<sup>8</sup><span class="math-tex">\(\theta\)</span>} <span class="math-tex">\(\frac{1}{sin^4\theta + cos^4\theta}\)</span>] + 2cos<sup>2</sup><span class="math-tex">\(\theta\)</span></p>

<p>⇒ [{sin<sup>8</sup><span class="math-tex">\(\theta\)</span> - cos<sup>8</sup><span class="math-tex">\(\theta\)</span>} × <span class="math-tex">\(\frac{1}{sin^4\theta + cos^4\theta}\)</span>] + 2cos<sup>2</sup><span class="math-tex">\(\theta\)</span></p>

<p>⇒ [<span class="math-tex">\(\frac{sin^8\theta- cos^8\theta}{sin^4\theta + cos^4\theta}\)</span>] + 2cos<sup>2</sup><span class="math-tex">\(\theta\)</span></p>

<p>⇒ [<span class="math-tex">\(\frac{(sin^4Î¸ â&#136;&#146; cos^4Î¸)(sin^4Î¸ + cos^4Î¸)}{sin^4\theta + cos^4\theta}\)</span>] + 2cos<sup>2</sup><span class="math-tex">\(\theta\)</span></p>

<p>⇒ sin<sup>4</sup>θ − cos<sup>4</sup>θ + 2cos<sup>2</sup>θ</p>

<p>⇒ (sin<sup>2</sup>θ − cos<sup>2</sup>θ)(sin<sup>2</sup>θ + cos<sup>2</sup>θ) + 2cos<sup>2</sup>θ</p>

<p>⇒ sin<sup>2</sup>θ − cos<sup>2</sup>θ + 2cos<sup>2</sup>θ</p>

<p>⇒ sin<sup>2</sup>θ + cos<sup>2</sup>θ = 1</p>
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The correct answer is option 3 i.e. 1. - Trigonometry Questions are asked in SSC CGL English exams and your question has been explained by experts like Neetu Mam.

Simplify sin8 heta - Trigonometry Questions for SSC CGL English

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