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<html><body><h2 id="content-id-3461987052-2"><b>Trigonometric Functions Questions Overview</b></h2><p>Trigonometric Functions Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl 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 Trigonometric Functions Questions.</p><h2 id="content-id-2317906845-3"><b>Question On Trigonometric Functions </b></h2>If 12sin θ = 5 cos θ, then sin θ + cos θ – cot θ is equal to:
<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 : Moderate </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-7831520496-4"><b> Trigonometric Functions Questions Options</b></h2><ol><li><p>139/156</p>
</li><li><p>-71/65</p>
</li><li><p>116/156</p>
</li><li><p>-16/65</p>
</li></ol> <h2 id="content-id-8017459236-5"><b> Trigonometric Functions Questions Solution</b></h2><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Correct Answer is <strong>option 2 </strong>i.e. <strong>-71/65</strong></span></span></span></p>

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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Concept</span></span></span></p>
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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Understanding</span></span></span></p>
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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Application</span></span></span></p>
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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Fair calculation</span></span></span></p>
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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">tan θ = P/B</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">sin θ = P/H</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">cos θ = B/H </span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">cot θ = B/P</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Pythagoras theorem:</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">H<sup>2</sup> = P<sup>2</sup> + B<sup>2</sup></span></span></span></p>

			
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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Given</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">12sin θ = 5 cos θ</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">⇒ tan</span><span style="font-size:12.0pt"> θ = 5/12 = P/B</span></span></span></p>
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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Hence, </span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">H = </span><span style="font-size:12.0pt">√(5<sup>2</sup>+12<sup>2</sup>)</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">H = 13</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Now,</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">sin θ + cos θ – cot θ</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">= 5/13 + 12/13 – 12/5 </span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">= -71/65 </span></span></span></p>
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			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">√(5<sup>2</sup>+12<sup>2</sup> )</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">= √(25+144)</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">= √169 = 13</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">5/13 + 12/13 – 12/5 </span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">= (25 + 60 – 156)/65</span></span></span></p>

			<p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">= -71/65</span></span></span></p>
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Correct Answer is option 2 i.e. -71/65  - Trigonometric Functions Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

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If 12sin 5 cos t - Trigonometric Functions Questions for Ssc Cgl

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