Question
Download Solution PDFThe value of tan 5° tan 25° tan 45° tan 65° tan 85° is equal to ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
tan 5° tan 25° tan 45° tan 65° tan 85°
Concept used
Tan (90 - θ) = cotθ
Calculation
⇒ tan (90 - 85) × tan (90 - 65) × tan 45° × tan 65° × tan 85°
⇒ cot 85° × cot 65° × 1 × tan 65° × tan 85° = 1
The value is 1.
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