Cos(x-12)=sin(x-20)

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Solution for Cos(x-12)=sin(x-20) equation: 


Simplifying
Cos(x + -12) = sin(x + -20)

Reorder the terms:
osC(-12 + x) = sin(x + -20)
(-12 * osC + x * osC) = sin(x + -20)
(-12osC + osxC) = sin(x + -20)

Reorder the terms:
-12osC + osxC = ins(-20 + x)
-12osC + osxC = (-20 * ins + x * ins)
-12osC + osxC = (-20ins + insx)

Solving
-12osC + osxC = -20ins + insx

Solving for variable 'o'.

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

Reorder the terms:
20ins + -1insx + -12osC + osxC = -20ins + insx + 20ins + -1insx

Reorder the terms:
20ins + -1insx + -12osC + osxC = -20ins + 20ins + insx + -1insx

Combine like terms: -20ins + 20ins = 0
20ins + -1insx + -12osC + osxC = 0 + insx + -1insx
20ins + -1insx + -12osC + osxC = insx + -1insx

Combine like terms: insx + -1insx = 0
20ins + -1insx + -12osC + osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(20in + -1inx + -12oC + oxC) = 0


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 '(20in + -1inx + -12oC + oxC)' equal to zero and attempt to solve:

Simplifying
20in + -1inx + -12oC + oxC = 0

Solving
20in + -1inx + -12oC + oxC = 0

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

Add '-20in' to each side of the equation.
20in + -1inx + -12oC + -20in + oxC = 0 + -20in

Reorder the terms:
20in + -20in + -1inx + -12oC + oxC = 0 + -20in

Combine like terms: 20in + -20in = 0
0 + -1inx + -12oC + oxC = 0 + -20in
-1inx + -12oC + oxC = 0 + -20in
Remove the zero:
-1inx + -12oC + oxC = -20in

Add 'inx' to each side of the equation.
-1inx + -12oC + inx + oxC = -20in + inx

Reorder the terms:
-1inx + inx + -12oC + oxC = -20in + inx

Combine like terms: -1inx + inx = 0
0 + -12oC + oxC = -20in + inx
-12oC + oxC = -20in + 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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