If  = 2 cos , then  = ?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 2)
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  1. 2 cos 
  2. cos 
  3. 2 cos 
  4. cos 

Answer (Detailed Solution Below)

Option 3 : 2 cos 
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

 = 2 cos 

Concept used:

4cos3θ - 3cosθ = cos3θ

 =  - 3

Calculation:

 = (2 cosθ)3 - 3(2cosθ)

⇒ 8cos3θ - 6cosθ

⇒ 2(4cos3θ - 3cosθ)

⇒ 2cos3θ

∴ The required answer is 2 cos3θ.

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