3sin^3x=sinx*cos^2x

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Solution for 3sin^3x=sinx*cos^2x equation:


Simplifying
3sin3x = sinx * cos2x

Multiply insx * cos2x
3in3sx = cinos3x2

Solving
3in3sx = cinos3x2

Solving for variable 'i'.

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

Add '-1cinos3x2' to each side of the equation.
-1cinos3x2 + 3in3sx = cinos3x2 + -1cinos3x2

Combine like terms: cinos3x2 + -1cinos3x2 = 0
-1cinos3x2 + 3in3sx = 0

Factor out the Greatest Common Factor (GCF), 'insx'.
insx(-1cos2x + 3n2) = 0

Subproblem 1

Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1cos2x + 3n2)' equal to zero and attempt to solve: Simplifying -1cos2x + 3n2 = 0 Solving -1cos2x + 3n2 = 0 Move all terms containing i to the left, all other terms to the right. Add 'cos2x' to each side of the equation. -1cos2x + cos2x + 3n2 = 0 + cos2x Combine like terms: -1cos2x + cos2x = 0 0 + 3n2 = 0 + cos2x 3n2 = 0 + cos2x Remove the zero: 3n2 = cos2x Add '-3n2' to each side of the equation. 3n2 + -3n2 = cos2x + -3n2 Combine like terms: 3n2 + -3n2 = 0 0 = cos2x + -3n2 Simplifying 0 = cos2x + -3n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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