sin(x+20)=cos(3x)

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


Simplifying
sin(x + 20) = cos(3x)

Reorder the terms:
ins(20 + x) = cos(3x)
(20 * ins + x * ins) = cos(3x)
(20ins + insx) = cos(3x)

Remove parenthesis around (3x)
20ins + insx = cos * 3x

Reorder the terms for easier multiplication:
20ins + insx = 3cos * x

Multiply cos * x
20ins + insx = 3cosx

Solving
20ins + insx = 3cosx

Solving for variable 'i'.

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

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

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

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

Simplifying
-3cox + 20in + inx = 0

Solving
-3cox + 20in + inx = 0

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

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

Reorder the terms:
-3cox + 3cox + 20in + inx = 0 + 3cox

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

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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