Solving trigonometric equations

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Prove: sin^3 X+cos^4 X=1 Here is what I have done so far: Prrof: sin^3x+cos^4x=1 sin^3x=1-cos^4x sin^3x=(1-cos^2x)(1+cos^2x) sin^3x=sin^2x(1+cos^2x) sin^3x-=0

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