Question: parametric representation

Hi,

Q1) Could you pls tell me how can I show in maple the curve (x^2+y^2)^2=x^2-y^2 in the form of

x(t)=cos(t)/1+sin^2*t and y(t)=sint*cost/1+sin^2*t.

Q2) how can I express sin^2(4x) in terms of powers of cosx.

a) cos^3(3x)cos(5x) as a linear combination of cosines of multiples of x.

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