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4 votes
Show that sin (x + pi) = -sin x.

User Ladonna
by
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1 Answer

4 votes

Answer:

The answer in the procedure

Explanation:

we know that


sin(A + B) = sin A cos B + cos A sin B

In this problem we have


sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)

Remember that


sin(\pi) = 0


cos(\pi) = -1

substitute


sin(x + \pi) = sin(x)(-1) + cos(x)(0)


sin(x + \pi) = -sin(x)

User Hakazvaka
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5.0k points