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If tan 4° tan 43° tan 47° tan 86°

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If tan 4° tan 43° tan 47° tan 86° 
1. 1
2. 1/2
3. 2
4. 2/3
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1 Answer

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Best answer
Correct Answer - Option 1 : 1

Given

tan 4° tan 43° tan 47° tan 86° 

Concept used

Tan (90 - θ) = cotθ 

Calculation

tan 4° tan 43° tan 47° tan 86° 

Tan86° = (90 - 4) = cot4° 

Tan47° = (90 - 43) = cot43° 

⇒ tan 4° tan 43° cot 43° cot 4° 

∴ Ans = 1

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