sinx(cos^2)-sinx=-sin^3x

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Solution for sinx(cos^2)-sinx=-sin^3x equation:


Simplifying
sinx(cos2) + -1sinx = -1sin3x

Multiply insx * cos2
cinos3x + -1sinx = -1sin3x

Solving
cinos3x + -1insx = -1in3sx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'insx' to each side of the equation.
cinos3x + -1insx + insx = insx + -1in3sx

Combine like terms: -1insx + insx = 0
cinos3x + 0 = insx + -1in3sx
cinos3x = insx + -1in3sx

Divide each side by 'inos3x'.
c = o-1s-2 + -1n2o-1s-2

Simplifying
c = o-1s-2 + -1n2o-1s-2

Reorder the terms:
c = -1n2o-1s-2 + o-1s-2

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