Question
Download Solution PDFtan 3θ का मान ज्ञात कीजिए यदि sec 3θ = cosec (4θ - 15°) है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया 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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