cos(6x+4)=sin(9x-4)

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Solution for cos(6x+4)=sin(9x-4) equation: 


Simplifying
cos(6x + 4) = sin(9x + -4)

Reorder the terms:
cos(4 + 6x) = sin(9x + -4)
(4 * cos + 6x * cos) = sin(9x + -4)
(4cos + 6cosx) = sin(9x + -4)

Reorder the terms:
4cos + 6cosx = ins(-4 + 9x)
4cos + 6cosx = (-4 * ins + 9x * ins)
4cos + 6cosx = (-4ins + 9insx)

Solving
4cos + 6cosx = -4ins + 9insx

Solving for variable 'c'.

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

Reorder the terms:
4cos + 6cosx + 4ins + -9insx = -4ins + 4ins + 9insx + -9insx

Combine like terms: -4ins + 4ins = 0
4cos + 6cosx + 4ins + -9insx = 0 + 9insx + -9insx
4cos + 6cosx + 4ins + -9insx = 9insx + -9insx

Combine like terms: 9insx + -9insx = 0
4cos + 6cosx + 4ins + -9insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(4co + 6cox + 4in + -9inx) = 0


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 '(4co + 6cox + 4in + -9inx)' equal to zero and attempt to solve:

Simplifying
4co + 6cox + 4in + -9inx = 0

Solving
4co + 6cox + 4in + -9inx = 0

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

Add '-4in' to each side of the equation.
4co + 6cox + 4in + -4in + -9inx = 0 + -4in

Combine like terms: 4in + -4in = 0
4co + 6cox + 0 + -9inx = 0 + -4in
4co + 6cox + -9inx = 0 + -4in
Remove the zero:
4co + 6cox + -9inx = -4in

Add '9inx' to each side of the equation.
4co + 6cox + -9inx + 9inx = -4in + 9inx

Combine like terms: -9inx + 9inx = 0
4co + 6cox + 0 = -4in + 9inx
4co + 6cox = -4in + 9inx

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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