यदि cos θ = \(\frac{\sqrt{3}}{2}\) है, तो tan2 θ cos2 θ का मान क्या है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)
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  1. \(\frac{1}{\sqrt3}\)
  2. \(\frac{1}{4}\)
  3. \(\frac{1}{2}\)
  4. √3

Answer (Detailed Solution Below)

Option 2 : \(\frac{1}{4}\)
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दिया गया है 

cos θ = \(\frac{\sqrt{3}}{2}\)

प्रयुक्त सूत्र:

cos 30º = \(\frac{\sqrt{3}}{2}\)

tan 30 º = 1/ \(\sqrt{3}\)

गणना

⇒ tan2 θ cos2 θ

⇒ (1/\(\sqrt{3}\))2 ×( \(\frac{\sqrt{3}}{2}\))2

⇒ 1/3 × 3/4

⇒ 1/4

व्यंजक का मान 1/4 है।

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