cos^2(x)+cos(x-3)=0

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Solution for cos^2(x)+cos(x-3)=0 equation:


Simplifying
cos2(x) + cos(x + -3) = 0

Multiply cos2 * x
cos2x + cos(x + -3) = 0

Reorder the terms:
cos2x + cos(-3 + x) = 0
cos2x + (-3 * cos + x * cos) = 0
cos2x + (-3cos + cosx) = 0

Reorder the terms:
-3cos + cosx + cos2x = 0

Solving
-3cos + cosx + cos2x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cos'.
cos(-3 + x + sx) = 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 '(-3 + x + sx)' equal to zero and attempt to solve: Simplifying -3 + x + sx = 0 Reorder the terms: -3 + sx + x = 0 Solving -3 + sx + x = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + sx + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + sx + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + sx + x = 0 + 3 sx + x = 0 + 3 Combine like terms: 0 + 3 = 3 sx + x = 3 Add '-1sx' to each side of the equation. sx + -1sx + x = 3 + -1sx Combine like terms: sx + -1sx = 0 0 + x = 3 + -1sx x = 3 + -1sx Add '-1x' to each side of the equation. x + -1x = 3 + -1sx + -1x Combine like terms: x + -1x = 0 0 = 3 + -1sx + -1x Simplifying 0 = 3 + -1sx + -1x 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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