Simplify 2cos2xsin2x ?? how to do

i have to use trig identities to solve, confused.

1 Answer
Apr 20, 2018

You can simplify the expression to sin(4x).

Explanation:

If we let u=2x, we can use the sine double angle formula backward:

color(white)=2sin(2x) cos(2x)

=2sin(u) cos(u)

=sin(2u)

=sin(2*u)

=sin(2*2x)

=sin(4x)

That's as simplified as it gets. Hope this helped!