Simplify the trigonometric expression cos x sin2 X cos3 X S

Simplify the trigonometric expression. cos x sin^2 X + cos^3 X

Solution

cosxsin²x +cos³x

=>cosxsin²x +cosxcos²x

take cosx as common term

=>cosx(sin²x +cos²x)

=>cosx *1..........................................................[since sin²x +cos²x=1 is an identity]

=>cosx

therefore cosxsin²x +cos³x=cosx