tan 3θ का मान ज्ञात कीजिए यदि sec 3θ = cosec (4θ - 15°) है।

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 4)
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  1. 13
  2. 3
  3. -1
  4. 1

Answer (Detailed Solution Below)

Option 4 : 1
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दिया गया:

sec 3θ = cosec (4θ - 15°)

गणना:

प्रश्न के अनुसार,

sec 3θ = cosec (4θ - 15)

⇒ cosec (90° - 3θ) = cosec (4θ – 15°)

⇒ 90° - 3θ = 4θ - 15°

⇒ 7θ = 90° + 15°

⇒ θ = 105°/7 = 15°

इसीलिए, tan3θ

= tan(3 × 15°)

= tan45°

= 1

अतः, आवश्यक मान 1 है।

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