What does cosx sinx equal?

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Mar 7, 2016

Answer:

#cos(x)sin(x) = sin(2x)/2#

Explanation:

So we have

#cos(x)sin(x)#

If we multiply it by two we have

#2cos(x)sin(x)#

Which we can say it's a sum

#cos(x)sin(x)+sin(x)cos(x)#

Which is the double angle formula of the sine

#cos(x)sin(x)+sin(x)cos(x)=sin(2x)#

But since we multiplied by 2 early on to get to that, we need to divide by two to make the equality, so

#cos(x)sin(x) = sin(2x)/2#

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