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Find the value of:

tan 72° + tan 39° + tan 69° 
1. 1
2. 0
3. tan 72° tan 39° tan 69° 
4. Cot 72° cot 39° cot 69°
5. 2

1 Answer

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Best answer
Correct Answer - Option 3 : tan 72° tan 39° tan 69° 

Concept used:

If A + B + C = 180° then tan A + tan B + tan C = tan A × tan B × tan C

Calculations:

72° + 39° + 69° = 180°

tan 72° + tan 39° + tan 69° = tan 72° tan 39° tan 69° 

∴ The correct answer is tan 72° tan 39° tan 69° 

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