Simbolic simplification of trigonometric functions

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Ole
Ole 2021-4-3
评论： Ole 2021-4-3
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);

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Paul
Paul 2021-4-3
How about this:
>> simplify(f,500)
ans =
-(sin(x)*(- sin(x)^2 - c)^(1/2)*(sin(x)^2 - 1)^2)/(2*d^2)

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