If sin Y = x, then what will be the value of cos 2Y (where 0 ≤ Y ≤ 90°)?

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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
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

sin Y = x

Formula used:

cos 2Y = 1 - 2sin2 Y

Calculations:

According to the question,

⇒ cos 2Y = 1 - 2sin2 Y

⇒ cos 2Y = 1 - 2(sin Y)2

⇒ cos 2Y = 1 - 2(x)2

∴ The value of cos 2Y is 1 - 2(x)2.

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