Sin*3x+sinx=cosx

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Solution for Sin*3x+sinx=cosx equation: 


Simplifying
Sin * 3x + sinx = cosx

Reorder the terms for easier multiplication:
3inS * x + sinx = cosx

Multiply inS * x
3inxS + sinx = cosx

Reorder the terms:
insx + 3inxS = cosx

Solving
insx + 3inxS = cosx

Solving for variable 'i'.

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

Reorder the terms:
-1cosx + insx + 3inxS = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + insx + 3inxS = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1cos + ins + 3inS) = 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 '(-1cos + ins + 3inS)' equal to zero and attempt to solve:

Simplifying
-1cos + ins + 3inS = 0

Reorder the terms:
-1cos + 3inS + ins = 0

Solving
-1cos + 3inS + ins = 0

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

Add 'cos' to each side of the equation.
-1cos + 3inS + cos + ins = 0 + cos

Reorder the terms:
-1cos + cos + 3inS + ins = 0 + cos

Combine like terms: -1cos + cos = 0
0 + 3inS + ins = 0 + cos
3inS + ins = 0 + cos
Remove the zero:
3inS + ins = cos

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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