Question
Download Solution PDFजर tan3θ⋅tan7θ = 1, जेथे 7θ हा लघूकोन असेल, तर cot15θ चे मूल्य शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
tan3θ⋅tan7θ = 1
वापरलेली संकल्पना:
गणना:
tan3θ⋅tan7θ = 1
⇒ tan3θ = 1/tan7θ
⇒ tan3θ = cot7θ
⇒ tan3θ = tan(90° - 7θ)
⇒ 3θ = 90° - 7θ
⇒ 10θ = 90°
⇒ θ = 9°
तर, cot15θ = cot135° = - tan45°
⇒ - 1
∴ आवश्यक उत्तर - 1 आहे.
Last updated on Jul 12, 2025
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