First slide

Compound angles

Question

In $Δ A B C, \sum [\frac{\sin (A - B)}{\cos A \cos B}] =$

Moderate

A

1
B

2
C

0
D

$\frac{1}{2}$

Solution

$\sum \frac{\sin A \cos B - \cos A \sin B}{\cos A \cos B}$
$= \sum (\tan A - \tan B) = \tan A - \tan B + \tan B - \tan c + \tan c - \tan A = 0$

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