Sin(150 + x)+ sin(150 − x) = cos x

Mathematics

1 answer:

77julia77 [94]3 years ago

8 0

Answer:

Below.

Step-by-step explanation:

We need to prove this identity by taking the left side and trying to transform it to the right side.

LHS = sin(150 + x) + sin(150 − x)

= sin 150 cos x + sin x cos 150 + sin 150 cos x - sin x cos 150

= 2 sin 150 cos x

= 2 * 1/2 * cos x

= cos x = RHS.

So it is proved.

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