Sin^3x*cosx-cos^3x*sinx=0

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Solution for Sin^3x*cosx-cos^3x*sinx=0 equation:


Simplifying
Sin3x * cosx + -1cos3x * sinx = 0

Multiply in3xS * cosx
cin3osx2S + -1cos3x * sinx = 0

Multiply cos3x * insx
cin3osx2S + -1cinos4x2 = 0

Reorder the terms:
-1cinos4x2 + cin3osx2S = 0

Solving
-1cinos4x2 + cin3osx2S = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cinosx2'.
cinosx2(-1s3 + n2S) = 0

Subproblem 1

Set the factor 'cinosx2' equal to zero and attempt to solve: Simplifying cinosx2 = 0 Solving cinosx2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinosx2 = 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 '(-1s3 + n2S)' equal to zero and attempt to solve: Simplifying -1s3 + n2S = 0 Reorder the terms: n2S + -1s3 = 0 Solving n2S + -1s3 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1n2S' to each side of the equation. n2S + -1n2S + -1s3 = 0 + -1n2S Combine like terms: n2S + -1n2S = 0 0 + -1s3 = 0 + -1n2S -1s3 = 0 + -1n2S Remove the zero: -1s3 = -1n2S Add 's3' to each side of the equation. -1s3 + s3 = -1n2S + s3 Combine like terms: -1s3 + s3 = 0 0 = -1n2S + s3 Simplifying 0 = -1n2S + s3 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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