Find the value of 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. sec 3θ - tan 3θ
  2. (sec 3θ - tan 3θ)3
  3. (sec 3θ - tan 3θ)2
  4. sec 3θ + tan 3θ

Answer (Detailed Solution Below)

Option 1 : sec 3θ - tan 3θ
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Calculation:

⇒ By putting θ = 15° 

⇒ 

⇒  = 

⇒ 

⇒ 

⇒ 

⇒ √2 - 1

Again, In option 1  By putting θ = 15° we get,

sec 3θ - tan 3θ = sec 45° - tan 45°

⇒ √2 - 1

∴ The correct option is 1

Alternate Method

⇒ 

⇒ 

⇒ 

⇒ 

⇒ 

⇒ 

⇒ sec 3θ - tan 3θ

∴ The correct option is 1

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