Sin(x)*cos(2x)+cos(x)*sin(2x)=0

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Solution for Sin(x)*cos(2x)+cos(x)*sin(2x)=0 equation:


Simplifying
Sin(x) * cos(2x) + cos(x) * sin(2x) = 0

Remove parenthesis around (2x)
inS * x * cos * 2x + cos(x) * sin(2x) = 0

Reorder the terms for easier multiplication:
2inS * x * cos * x + cos(x) * sin(2x) = 0

Multiply inS * x
2inxS * cos * x + cos(x) * sin(2x) = 0

Multiply inxS * cos
2cinosxS * x + cos(x) * sin(2x) = 0

Multiply cinosxS * x
2cinosx2S + cos(x) * sin(2x) = 0

Remove parenthesis around (2x)
2cinosx2S + cos * x * ins * 2x = 0

Reorder the terms for easier multiplication:
2cinosx2S + 2cos * x * ins * x = 0

Multiply cos * x
2cinosx2S + 2cosx * ins * x = 0

Multiply cosx * ins
2cinosx2S + 2cinos2x * x = 0

Multiply cinos2x * x
2cinosx2S + 2cinos2x2 = 0

Solving
2cinosx2S + 2cinos2x2 = 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), '2cinosx2'.
2cinosx2(S + s) = 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 + s)' equal to zero and attempt to solve: Simplifying S + s = 0 Solving S + s = 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 + s = 0 + -1S Combine like terms: S + -1S = 0 0 + s = 0 + -1S s = 0 + -1S Remove the zero: s = -1S Add '-1s' to each side of the equation. s + -1s = -1S + -1s Combine like terms: s + -1s = 0 0 = -1S + -1s Simplifying 0 = -1S + -1s 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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