How do you verify #cos^3 * sin^2 x = (sin^2 x - sin^4 x)cos x#?
1 Answer
Nov 1, 2015
See explanation
Explanation:
Note that
Now observe tht
# " L.H.S " = cos^3x * sin^2 x#
#= cos x * cos^2x * sin^2x#
#= cosx * (1- sin^2x) * sin^2x#
#= cosx*(sin^2x - sin^4x)#
#= (sin^2x - sin^4x)*cosx = " R.H.S "#