cos(x+30)=2cosx

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Solution for cos(x+30)=2cosx equation: 


Simplifying
cos(x + 30) = 2cosx

Reorder the terms:
cos(30 + x) = 2cosx
(30 * cos + x * cos) = 2cosx
(30cos + cosx) = 2cosx

Solving
30cos + cosx = 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
30cos + cosx + -2cosx = 2cosx + -2cosx

Combine like terms: cosx + -2cosx = -1cosx
30cos + -1cosx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
30cos + -1cosx = 0

Factor out the Greatest Common Factor (GCF), 'cos'.
cos(30 + -1x) = 0


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

Simplifying
cos = 0

Solving
cos = 0

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

Simplifying
cos = 0

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 '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Add 'x' to each side of the equation.
-1x + x = -30 + x

Combine like terms: -1x + x = 0
0 = -30 + x

Simplifying
0 = -30 + x

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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