का मान ज्ञात कीजिए। 

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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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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गणना:

⇒ θ = 15° रखने पर,

⇒ 

⇒  = 

⇒ 

⇒ 

⇒ 

⇒ √2 - 1

पुनः, विकल्प 1 में, θ = 15° रखने पर हमें प्राप्त होता है:

sec 3θ - tan 3θ = sec 45° - tan 45°

⇒ √2 - 1

∴ सही उत्तर विकल्प 1 है। 

Alternate Method

⇒ 

⇒ 

⇒ 

⇒ 

⇒ 

⇒ 

⇒ sec 3θ - tan 3θ

∴ सही उत्तर विकल्प 1 है। 

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