cos(3x-20)=sin(5x+6)

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Solution for cos(3x-20)=sin(5x+6) equation: 


Simplifying
cos(3x + -20) = sin(5x + 6)

Reorder the terms:
cos(-20 + 3x) = sin(5x + 6)
(-20 * cos + 3x * cos) = sin(5x + 6)
(-20cos + 3cosx) = sin(5x + 6)

Reorder the terms:
-20cos + 3cosx = ins(6 + 5x)
-20cos + 3cosx = (6 * ins + 5x * ins)
-20cos + 3cosx = (6ins + 5insx)

Solving
-20cos + 3cosx = 6ins + 5insx

Solving for variable 'c'.

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

Reorder the terms:
-20cos + 3cosx + -6ins + -5insx = 6ins + -6ins + 5insx + -5insx

Combine like terms: 6ins + -6ins = 0
-20cos + 3cosx + -6ins + -5insx = 0 + 5insx + -5insx
-20cos + 3cosx + -6ins + -5insx = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
-20cos + 3cosx + -6ins + -5insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-20co + 3cox + -6in + -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 '(-20co + 3cox + -6in + -5inx)' equal to zero and attempt to solve:

Simplifying
-20co + 3cox + -6in + -5inx = 0

Solving
-20co + 3cox + -6in + -5inx = 0

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

Add '6in' to each side of the equation.
-20co + 3cox + -6in + 6in + -5inx = 0 + 6in

Combine like terms: -6in + 6in = 0
-20co + 3cox + 0 + -5inx = 0 + 6in
-20co + 3cox + -5inx = 0 + 6in
Remove the zero:
-20co + 3cox + -5inx = 6in

Add '5inx' to each side of the equation.
-20co + 3cox + -5inx + 5inx = 6in + 5inx

Combine like terms: -5inx + 5inx = 0
-20co + 3cox + 0 = 6in + 5inx
-20co + 3cox = 6in + 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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