Simbolic simplification of trigonometric functions

I have expressions that I do not know how to further simplify with matlab.

Which function will at least make the expression more compact.. collect common terms, try to rewrite

syms x c d
assume(0 <=x & x <= pi/2 & d>0 & c <0 )
f = (sin(x)^3*(- c - sin(x)^2)^(1/2))/d^2 - (sin(x)*(- c - sin(x)^2)^(1/2))/(2*d^2) - (sin(x)^5*(- c - sin(x)^2)^(1/2))/(2*d^2); 

Answer 1

[Paul]

How about this:

>> simplify(f,500)
 
ans =
 
-(sin(x)*(- sin(x)^2 - c)^(1/2)*(sin(x)^2 - 1)^2)/(2*d^2)
 

[Ole]

Thank you !