sin(3x+3)=cos(4x)

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Solution for sin(3x+3)=cos(4x) equation:


Simplifying
sin(3x + 3) = cos(4x)

Reorder the terms:
ins(3 + 3x) = cos(4x)
(3 * ins + 3x * ins) = cos(4x)
(3ins + 3insx) = cos(4x)

Remove parenthesis around (4x)
3ins + 3insx = cos * 4x

Reorder the terms for easier multiplication:
3ins + 3insx = 4cos * x

Multiply cos * x
3ins + 3insx = 4cosx

Solving
3ins + 3insx = 4cosx

Solving for variable 'i'.

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

Reorder the terms:
-4cosx + 3ins + 3insx = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
-4cosx + 3ins + 3insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-4cox + 3in + 3inx) = 0

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing i 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 '(-4cox + 3in + 3inx)' equal to zero and attempt to solve: Simplifying -4cox + 3in + 3inx = 0 Solving -4cox + 3in + 3inx = 0 Move all terms containing i to the left, all other terms to the right. Add '4cox' to each side of the equation. -4cox + 3in + 4cox + 3inx = 0 + 4cox Reorder the terms: -4cox + 4cox + 3in + 3inx = 0 + 4cox Combine like terms: -4cox + 4cox = 0 0 + 3in + 3inx = 0 + 4cox 3in + 3inx = 0 + 4cox Remove the zero: 3in + 3inx = 4cox 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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