Cos(40x-20)=sin(2x-4)

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Solution for Cos(40x-20)=sin(2x-4) equation: 


Simplifying
Cos(40x + -20) = sin(2x + -4)

Reorder the terms:
osC(-20 + 40x) = sin(2x + -4)
(-20 * osC + 40x * osC) = sin(2x + -4)
(-20osC + 40osxC) = sin(2x + -4)

Reorder the terms:
-20osC + 40osxC = ins(-4 + 2x)
-20osC + 40osxC = (-4 * ins + 2x * ins)
-20osC + 40osxC = (-4ins + 2insx)

Solving
-20osC + 40osxC = -4ins + 2insx

Solving for variable 'o'.

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

Reorder the terms:
4ins + -2insx + -20osC + 40osxC = -4ins + 2insx + 4ins + -2insx

Reorder the terms:
4ins + -2insx + -20osC + 40osxC = -4ins + 4ins + 2insx + -2insx

Combine like terms: -4ins + 4ins = 0
4ins + -2insx + -20osC + 40osxC = 0 + 2insx + -2insx
4ins + -2insx + -20osC + 40osxC = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
4ins + -2insx + -20osC + 40osxC = 0

Factor out the Greatest Common Factor (GCF), '2s'.
2s(2in + -1inx + -10oC + 20oxC) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

Move all terms containing o 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 '(2in + -1inx + -10oC + 20oxC)' equal to zero and attempt to solve:

Simplifying
2in + -1inx + -10oC + 20oxC = 0

Solving
2in + -1inx + -10oC + 20oxC = 0

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

Add '-2in' to each side of the equation.
2in + -1inx + -10oC + -2in + 20oxC = 0 + -2in

Reorder the terms:
2in + -2in + -1inx + -10oC + 20oxC = 0 + -2in

Combine like terms: 2in + -2in = 0
0 + -1inx + -10oC + 20oxC = 0 + -2in
-1inx + -10oC + 20oxC = 0 + -2in
Remove the zero:
-1inx + -10oC + 20oxC = -2in

Add 'inx' to each side of the equation.
-1inx + -10oC + inx + 20oxC = -2in + inx

Reorder the terms:
-1inx + inx + -10oC + 20oxC = -2in + inx

Combine like terms: -1inx + inx = 0
0 + -10oC + 20oxC = -2in + inx
-10oC + 20oxC = -2in + inx

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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