cos(3x+20)=sin(7x-50)

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Solution for cos(3x+20)=sin(7x-50) equation: 


Simplifying
cos(3x + 20) = sin(7x + -50)

Reorder the terms:
cos(20 + 3x) = sin(7x + -50)
(20 * cos + 3x * cos) = sin(7x + -50)
(20cos + 3cosx) = sin(7x + -50)

Reorder the terms:
20cos + 3cosx = ins(-50 + 7x)
20cos + 3cosx = (-50 * ins + 7x * ins)
20cos + 3cosx = (-50ins + 7insx)

Solving
20cos + 3cosx = -50ins + 7insx

Solving for variable 'c'.

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

Reorder the terms:
20cos + 3cosx + 50ins + -7insx = -50ins + 50ins + 7insx + -7insx

Combine like terms: -50ins + 50ins = 0
20cos + 3cosx + 50ins + -7insx = 0 + 7insx + -7insx
20cos + 3cosx + 50ins + -7insx = 7insx + -7insx

Combine like terms: 7insx + -7insx = 0
20cos + 3cosx + 50ins + -7insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(20co + 3cox + 50in + -7inx) = 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 + 50in + -7inx)' equal to zero and attempt to solve:

Simplifying
20co + 3cox + 50in + -7inx = 0

Solving
20co + 3cox + 50in + -7inx = 0

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

Add '-50in' to each side of the equation.
20co + 3cox + 50in + -50in + -7inx = 0 + -50in

Combine like terms: 50in + -50in = 0
20co + 3cox + 0 + -7inx = 0 + -50in
20co + 3cox + -7inx = 0 + -50in
Remove the zero:
20co + 3cox + -7inx = -50in

Add '7inx' to each side of the equation.
20co + 3cox + -7inx + 7inx = -50in + 7inx

Combine like terms: -7inx + 7inx = 0
20co + 3cox + 0 = -50in + 7inx
20co + 3cox = -50in + 7inx

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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