The 3/4 turned into a 3 after I multiplied everything by 4. Afterwards, the 4sin and 4cos on the left became 3sin and 3cose when moving the stuff on the right to the left. I then divided everything by 3.
Hmmm...in that case...I'm not really sure how to go about reducing cos(4x) to a single angle using the double-angle cosine formula. :confused:
EDIT: Ahh...I now see that cos(4x)=cos(2x+2x)=cos(2x)cos(2x)-sin(2x)sin(2x)...
more work underway!
EDIT2: Ohhh, here we go: cos(4x)=((cos(x))^2-...
I've wracked my brains out trying to prove this identity. If anyone could offer some suggestions, I'd greatly appreciate it!
(sin(x))^4+(cos(x))^4 = 0.25∙cos(4x)+0.75