First slide

Trigonometric transformations

Question

$A + B + C = 0 ° \Rightarrow \sin A + \sin B + \sin C =$

Moderate

A

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

$- 2 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}$
C

$4 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}$
D

$- 4 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}$

Solution

Put $A = B = 60 °$ and $C = - 120 °$ and simplify

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