make one side equal to the other sin^(1/2)xcosx-sin^(5/2)xcosx=cos^3x(sinx)^1/2?

Question

sin^(1/2)xcosx-sin^(5/2)xcosx=cos^3x(sinx)^1/2

Answer 1

you need to put spaces... so that the equations can be read properly... §

sin^(1/2)(x) cosx - sin^(5/2)(x) cosx ?=? cos^3(x) sin^(1/2)(x)

= [√sinx] [cosx - sin^2(x) cosx]
= [√sinx] [cos x] [1 - sin^2(x)]
= [√sinx] [cos x] [cos^2(x)]
= [cos^3(x)] [√sinx]

Answer 2

Proper spacing is useful.

sin^(1/2) x cos x - sin^(5/2) x cos x
sin^(1/2) x cos x - sin² x sin^(1/2) x cos x
(1 - sin² x) sin^(1/2) x cos x
cos² x sin^(1/2) x cos x
sin^(1/2) x cos³ x