Posted by **B.S.** on Friday, June 12, 2009 at 1:00am.

The expression 4 sin x cos x is equivalent to which of the following?

(Note: sin (x+y) = sin x cos y + cos x sin y)

F. 2 sin 2x

G. 2 cos 2x

H. 2 sin 4x

J. 8 sin 2x

K. 8 cos 2x

Can someone please explain how to do this problem to me?

- trig -
**Quidditch**, Friday, June 12, 2009 at 2:50am
Given:

sin(x+y)=sin(x)cos(y) + cos(x)sin(y)

For the case y=x:

sin(x+x) = sin(x)cos(x) + cos(x)sin(x)

=sin(2x) = 2sin(x)cos(x)

or, just to make it easier

2sin(x)cos(x) = sin(2x)

so, what does 4sin(x)cos(x) = ?

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