cos(3x-1)=sin(2-5x)

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Solution for cos(3x-1)=sin(2-5x) equation: 


Simplifying
cos(3x + -1) = sin(2 + -5x)

Reorder the terms:
cos(-1 + 3x) = sin(2 + -5x)
(-1 * cos + 3x * cos) = sin(2 + -5x)
(-1cos + 3cosx) = sin(2 + -5x)
-1cos + 3cosx = (2 * ins + -5x * ins)
-1cos + 3cosx = (2ins + -5insx)

Solving
-1cos + 3cosx = 2ins + -5insx

Solving for variable 'c'.

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

Reorder the terms:
-1cos + 3cosx + -2ins + 5insx = 2ins + -2ins + -5insx + 5insx

Combine like terms: 2ins + -2ins = 0
-1cos + 3cosx + -2ins + 5insx = 0 + -5insx + 5insx
-1cos + 3cosx + -2ins + 5insx = -5insx + 5insx

Combine like terms: -5insx + 5insx = 0
-1cos + 3cosx + -2ins + 5insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1co + 3cox + -2in + 5inx) = 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 '(-1co + 3cox + -2in + 5inx)' equal to zero and attempt to solve:

Simplifying
-1co + 3cox + -2in + 5inx = 0

Solving
-1co + 3cox + -2in + 5inx = 0

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

Add '2in' to each side of the equation.
-1co + 3cox + -2in + 2in + 5inx = 0 + 2in

Combine like terms: -2in + 2in = 0
-1co + 3cox + 0 + 5inx = 0 + 2in
-1co + 3cox + 5inx = 0 + 2in
Remove the zero:
-1co + 3cox + 5inx = 2in

Add '-5inx' to each side of the equation.
-1co + 3cox + 5inx + -5inx = 2in + -5inx

Combine like terms: 5inx + -5inx = 0
-1co + 3cox + 0 = 2in + -5inx
-1co + 3cox = 2in + -5inx

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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