sin(4x)cos(2x)-sin(2x)cos(4x) is equivalent to which of the following?
A. sin(2x)
B. None of these
C. sin(6x)
D. cos(2x)
E. cos(6x)
sin(4x)cos(2x)-sin(2x)cos(4x)
Using
sin ( A - B) = sinAcosB - sinBcosA where A = 4x and B = 2x, we have
sin ( 4x - 2x) =
sin (2x) → "A"