Solve for x. cos (2x - 4) = sin (6x)

Simplifying

cos (2x + - 4) = sin (6x)

Reorder the terms:

cos (-4 + 2x) = sin (6x)

(-4 * cos + 2x * cos) = sin (6x)

(-4cos + 2cosx) = sin (6x)

Remove parenthesis around (6x)

-4cos + 2cosx = ins * 6x

Reorder the terms for easier multiplication:

-4cos + 2cosx = 6ins * x

Multiply ins * x

-4cos + 2cosx = 6insx

Solving

-4cos + 2cosx = 6insx

Solving for variable 'c'.

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

Combine like terms: 6insx + - 6insx = 0

-4cos + 2cosx + - 6insx = 0

Factor out the Greatest Common Factor (GCF), '2s'.

2s (-2co + cox + - 3inx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 's' equal to zero and attempt to solve:

Simplifying

s = 0

Solving

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 = 0 + - 1s

Remove the zero:

0 = - 1s

Simplifying

0 = - 1s

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 ' (-2co + cox + - 3inx) ' equal to zero and attempt to solve:

Simplifying

-2co + cox + - 3inx = 0

Solving

-2co + cox + - 3inx = 0

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

Add '3inx' to each side of the equation.

-2co + cox + - 3inx + 3inx = 0 + 3inx

Combine like terms: - 3inx + 3inx = 0

-2co + cox + 0 = 0 + 3inx

-2co + cox = 0 + 3inx

Remove the zero:

-2co + cox = 3inx

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.