यदि sin Y = x है, तो cos 2Y (जहाँ 0 ≤ Y ≤ 90°) का मान क्या होगा?

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 1)
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  1. (√2 - 1)x
  2. √2x
  3. 1 - 2x
  4. 1 - 2x2

Answer (Detailed Solution Below)

Option 4 : 1 - 2x2
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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दिया गया:

sin Y = x

प्रयुक्त सूत्र:

cos 2Y = 1 - 2sin2 Y

गणना:

प्रश्न के अनुसार,

⇒ cos 2Y = 1 - 2sin2 Y

⇒ cos 2Y = 1 - 2(sin Y)2

⇒ cos 2Y = 1 - 2(x)2

∴ cos 2Y का मान 1 - 2(x)2 है।

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