Sin(2x)cos(x)=sin(x)cos(2x)

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Solution for Sin(2x)cos(x)=sin(x)cos(2x) equation:


Simplifying
Sin(2x) * cos(x) = sin(x) * cos(2x)

Remove parenthesis around (2x)
inS * 2x * cos(x) = sin(x) * cos(2x)

Reorder the terms for easier multiplication:
2inS * x * cos * x = sin(x) * cos(2x)

Multiply inS * x
2inxS * cos * x = sin(x) * cos(2x)

Multiply inxS * cos
2cinosxS * x = sin(x) * cos(2x)

Multiply cinosxS * x
2cinosx2S = sin(x) * cos(2x)

Remove parenthesis around (2x)
2cinosx2S = ins * x * cos * 2x

Reorder the terms for easier multiplication:
2cinosx2S = 2ins * x * cos * x

Multiply ins * x
2cinosx2S = 2insx * cos * x

Multiply insx * cos
2cinosx2S = 2cinos2x * x

Multiply cinos2x * x
2cinosx2S = 2cinos2x2

Solving
2cinosx2S = 2cinos2x2

Solving for variable 'c'.

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

Add '-2cinos2x2' to each side of the equation.
2cinosx2S + -2cinos2x2 = 2cinos2x2 + -2cinos2x2

Combine like terms: 2cinos2x2 + -2cinos2x2 = 0
2cinosx2S + -2cinos2x2 = 0

Factor out the Greatest Common Factor (GCF), '2cinosx2'.
2cinosx2(S + -1s) = 0

Ignore the factor 2.

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