\({{2 \tan 60°} \over 1+ \tan^260°}\) का मान क्या होगा? 

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3)
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  1. cos 60°
  2. tan 60°
  3. sin 60°
  4. sin 30°

Answer (Detailed Solution Below)

Option 3 : sin 60°
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Detailed Solution

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दिया गया है:

\({{2 \tan 60°} \over 1+ \tan^260°}\)

प्रयुक्त अवधारणा:

Trigo

गणना:

\({{2 \tan 60°} \over 1+ \tan^260°}\)

⇒ \({{2\sqrt3} \over 1+3}\)

⇒ \({{2\sqrt3} \over 4}\)

⇒ \({{\sqrt3} \over 2}\)

⇒ \({{\sqrt3} \over 2}\) = sin 60°

अभीष्ट उत्तर sin 60° है।

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