Question
Download Solution PDFఒకవేళ tan3θ⋅tan7θ = 1 అయితే, 7θ అనేది అల్ప కోణం అయితే, cot15θ విలువను కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చింది:
tan3θ⋅tan7θ = 1
ఉపయోగించిన భావన:
గణన:
tan3θ⋅tan7θ = 1
⇒ tan3θ = 1/tan7θ
⇒ tan3θ = cot7θ
⇒ tan3θ = tan(90° - 7θ)
⇒ 3θ = 90° - 7θ
⇒ 10θ = 90°
⇒ θ = 9°
కాబట్టి, cot15θ = cot135° = - tan45°
⇒ - 1
∴ అవసరమైన సమాధానం - 1.
Last updated on Jun 13, 2025
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