First slide

Trigonometric transformations

Question

$A + B + C = 2 S \Rightarrow \sin S + \sin (S - A) + \sin (S - B) - \sin (S - C) =$

Moderate

A

$4 \cos \frac{A}{2} . \cos \frac{B}{2} . \cos \frac{C}{2}$
B

$4 \cos \frac{A}{2} . \cos \frac{B}{2} . s i n \frac{C}{2}$
C

$4 \cos \frac{A}{2} . s i n \frac{B}{2} . c o s \frac{C}{2}$
D

$4 \sin \frac{A}{2} . s i n \frac{B}{2} . \sin \frac{C}{2}$

Solution

Apply $S i n C + S i n D$ formulae

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