First slide

Trigonometric transformations

Question

$\frac{1 - \cos A + \cos B - \cos (A + B)}{1 + \cos A - \cos B - \cos (A + B)} =$

Moderate

A

$\sin \frac{A}{2} . \cos \frac{B}{2}$
B

$\sin \frac{A}{2} . cosec \frac{B}{2}$
C

$\tan \frac{A}{2} . \cot \frac{B}{2}$
D

$2 \sin \frac{A}{2} . \cos \frac{B}{2}$

Solution

Put $A = B = 30 °$ and verify

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