Buktikan bahwa sin2x +sin 2y : cos 2x + cos 2y = tan (x+y)

IdenTitaS TriGonoMetRi

(sin 2x + sin 2y) / (cos 2x + cos 2y)
= 2 sin ((2x + 2y)/2) cos ((2x - 2y)/2) / (2 cos ((2x + 2y))2) cos ((2x - 2y)/2))
= 2 sin (x + y) cos (x - y) / 2 cos (x + y) cos (x - y)
= sin (x + y) / cos (x + y)
= tan (x + y)
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