cos(x)=sin(2x)xcos(x)

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


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

Multiply cos * x
cosx = sin(2x) * xcos(x)

Remove parenthesis around (2x)
cosx = ins * 2x * xcos(x)

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

Multiply ins * x
cosx = 2insx * cosx * x

Multiply insx * cosx
cosx = 2cinos2x2 * x

Multiply cinos2x2 * x
cosx = 2cinos2x3

Solving
cosx = 2cinos2x3

Solving for variable 'c'.

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

Add '-2cinos2x3' to each side of the equation.
-2cinos2x3 + cosx = 2cinos2x3 + -2cinos2x3

Combine like terms: 2cinos2x3 + -2cinos2x3 = 0
-2cinos2x3 + cosx = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-2insx2 + 1) = 0


Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve:

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 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 '(-2insx2 + 1)' equal to zero and attempt to solve:

Simplifying
-2insx2 + 1 = 0

Reorder the terms:
1 + -2insx2 = 0

Solving
1 + -2insx2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2insx2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2insx2 = 0 + -1
-2insx2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2insx2 = -1

Add '2insx2' to each side of the equation.
-2insx2 + 2insx2 = -1 + 2insx2

Combine like terms: -2insx2 + 2insx2 = 0
0 = -1 + 2insx2

Simplifying
0 = -1 + 2insx2

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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