Sin(x)+sin(2x)=cos(x)+cos(2x)

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Solution for Sin(x)+sin(2x)=cos(x)+cos(2x) equation: 


Simplifying
Sin(x) + sin(2x) = cos(x) + cos(2x)

Multiply inS * x
inxS + sin(2x) = cos(x) + cos(2x)

Remove parenthesis around (2x)
inxS + ins * 2x = cos(x) + cos(2x)

Reorder the terms for easier multiplication:
inxS + 2ins * x = cos(x) + cos(2x)

Multiply ins * x
inxS + 2insx = cos(x) + cos(2x)

Reorder the terms:
2insx + inxS = cos(x) + cos(2x)

Multiply cos * x
2insx + inxS = cosx + cos(2x)

Remove parenthesis around (2x)
2insx + inxS = cosx + cos * 2x

Reorder the terms for easier multiplication:
2insx + inxS = cosx + 2cos * x

Multiply cos * x
2insx + inxS = cosx + 2cosx

Combine like terms: cosx + 2cosx = 3cosx
2insx + inxS = 3cosx

Solving
2insx + inxS = 3cosx

Solving for variable 'i'.

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

Reorder the terms:
-3cosx + 2insx + inxS = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 2insx + inxS = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3cos + 2ins + inS) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(-3cos + 2ins + inS)' equal to zero and attempt to solve:

Simplifying
-3cos + 2ins + inS = 0

Reorder the terms:
-3cos + inS + 2ins = 0

Solving
-3cos + inS + 2ins = 0

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

Add '3cos' to each side of the equation.
-3cos + inS + 3cos + 2ins = 0 + 3cos

Reorder the terms:
-3cos + 3cos + inS + 2ins = 0 + 3cos

Combine like terms: -3cos + 3cos = 0
0 + inS + 2ins = 0 + 3cos
inS + 2ins = 0 + 3cos
Remove the zero:
inS + 2ins = 3cos

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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