First slide

Compound angles

Question

If $A + B + C = π, n \in Z,$ then $\tan n A + \tan n B + \tan n C$ is equal

Moderate

A

0
B

1
C

$\tan n A \tan n B \tan n C$
D

none of these

Solution

We have ,
$A + B + C = π \Rightarrow n A + n B + n C = n π$

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