I understand how it works when it is sin^2 x cos^2 x but I do not know what to do when I am given a 2x.
Hello Angel, a fellow El Pasoan.
Using the identities
sin2u = (1-cos(2u))/2
cos2u = (1+cos(2u))/2
In this case, we can make it so that u=2x. This is the value that is doubled in the identity.
We can take it a step further to get it to the first power.
= (2/2-(1-cos(8x))/2)/4 Common demoninator