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tan 5° tan 25° tan 45° tan 65° tan 85° =

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tan 5° tan 25° tan 45° tan 65° tan 85° =  


1. 1
2. 1/2
3. 3/4
4. None of the above
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1 Answer

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Best answer
Correct Answer - Option 1 : 1

Given

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° 

∴ Ans = 1

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