sin(x-20)=cos(2x)

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Solution for sin(x-20)=cos(2x) equation: 


Simplifying
sin(x + -20) = cos(2x)

Reorder the terms:
ins(-20 + x) = cos(2x)
(-20 * ins + x * ins) = cos(2x)
(-20ins + insx) = cos(2x)

Remove parenthesis around (2x)
-20ins + insx = cos * 2x

Reorder the terms for easier multiplication:
-20ins + insx = 2cos * x

Multiply cos * x
-20ins + insx = 2cosx

Solving
-20ins + insx = 2cosx

Solving for variable 'i'.

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

Reorder the terms:
-2cosx + -20ins + insx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-2cosx + -20ins + insx = 0

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


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing i 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 '(-2cox + -20in + inx)' equal to zero and attempt to solve:

Simplifying
-2cox + -20in + inx = 0

Solving
-2cox + -20in + inx = 0

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

Add '2cox' to each side of the equation.
-2cox + -20in + 2cox + inx = 0 + 2cox

Reorder the terms:
-2cox + 2cox + -20in + inx = 0 + 2cox

Combine like terms: -2cox + 2cox = 0
0 + -20in + inx = 0 + 2cox
-20in + inx = 0 + 2cox
Remove the zero:
-20in + inx = 2cox

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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