cos(2x-1)=sin(5x+14)

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Solution for cos(2x-1)=sin(5x+14) equation: 


Simplifying
cos(2x + -1) = sin(5x + 14)

Reorder the terms:
cos(-1 + 2x) = sin(5x + 14)
(-1 * cos + 2x * cos) = sin(5x + 14)
(-1cos + 2cosx) = sin(5x + 14)

Reorder the terms:
-1cos + 2cosx = ins(14 + 5x)
-1cos + 2cosx = (14 * ins + 5x * ins)
-1cos + 2cosx = (14ins + 5insx)

Solving
-1cos + 2cosx = 14ins + 5insx

Solving for variable 'c'.

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

Reorder the terms:
-1cos + 2cosx + -14ins + -5insx = 14ins + -14ins + 5insx + -5insx

Combine like terms: 14ins + -14ins = 0
-1cos + 2cosx + -14ins + -5insx = 0 + 5insx + -5insx
-1cos + 2cosx + -14ins + -5insx = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
-1cos + 2cosx + -14ins + -5insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1co + 2cox + -14in + -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 + 2cox + -14in + -5inx)' equal to zero and attempt to solve:

Simplifying
-1co + 2cox + -14in + -5inx = 0

Solving
-1co + 2cox + -14in + -5inx = 0

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

Add '14in' to each side of the equation.
-1co + 2cox + -14in + 14in + -5inx = 0 + 14in

Combine like terms: -14in + 14in = 0
-1co + 2cox + 0 + -5inx = 0 + 14in
-1co + 2cox + -5inx = 0 + 14in
Remove the zero:
-1co + 2cox + -5inx = 14in

Add '5inx' to each side of the equation.
-1co + 2cox + -5inx + 5inx = 14in + 5inx

Combine like terms: -5inx + 5inx = 0
-1co + 2cox + 0 = 14in + 5inx
-1co + 2cox = 14in + 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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