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PLEASE HELP DUE SOON!!! TRIGONOMETRIC IDENTITIES

PLEASE HELP DUE SOON TRIGONOMETRIC IDENTITIES class=

Sagot :

Answer:

Proved

Step-by-step explanation:

[tex]\cos{(x)} \cos{(y)} [\tan{(x)}+\tan{(y)}]\\=\cos{(x)}\cos{(y)}\times[\frac{\sin{(x)}}{\cos{(x)}}+\frac{\sin{(y)}}{\cos{(y)}}]\\\\\\\\=\cos{(x)}\cos{(y)}\times\frac{\sin{(x)}}{\cos{(x)}}+\cos{(x)}\cos{(y)}\times\frac{\sin{(y)}}{\cos{(y)}}\\\\\\\\=\cos{(y)}\times\sin{(x)}+\cos{(x)}\sin{(y)}\\\\=\sin{(x+y)}[/tex]