Question

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

Answer 1

verify the equation

Answer 2

factor out cos x

=cosx(sqrt(sin) - sin^2sqrt(sin))

factor out sqrt(sin x)

=sqrt(sin)*cosx*(1-sin^2)
Note; trig identity : 1-sin^2 = cos^2

=sqrt(sin)*cos^3x

Answer 3

what happens to the sqrt of sin^5x

Answer 4

cause you said factor out a sqrt... which i did but then i got lost with that one part of the equation

Answer 5

i converted it to sin^2*sqrt(sin)

sqrt(x^5) = sqrt(x^4*x) = x^2*sqrtx

Answer 6

ok gotcha