Question
Download Solution PDFFind the value of tan66° tan30° tan24° tan27°/cot63°.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Expression = tan66° tan30° tan24° tan27°/cot63°
Concepts used:
cotθ = 1/tanθ
Calculation:
tan66° tan30° tan24° tan27°/cot63°
⇒ tan66° × 1/√3 × tan(90° - 66°) × tan(90° - 63°)/cot63°
⇒ tan66° × 1/√3 × cot66° × cot63°/cot63°
⇒ 1 × 1/√3 × 1 = 1/√3
∴ Value of tan66° tan30° tan24° tan27°/cot63° is 1/√3.
Last updated on Jul 7, 2025
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