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Simplifying cos(x) + cos(7x) + -1cos(4) = 0 Multiply cos * x cosx + cos(7x) + -1cos(4) = 0 Remove parenthesis around (7x) cosx + cos * 7x + -1cos(4) = 0 Reorder the terms for easier multiplication: cosx + 7cos * x + -1cos(4) = 0 Multiply cos * x cosx + 7cosx + -1cos(4) = 0 Reorder the terms for easier multiplication: cosx + 7cosx + -1 * 4cos = 0 Multiply -1 * 4 cosx + 7cosx + -4cos = 0 Reorder the terms: -4cos + cosx + 7cosx = 0 Combine like terms: cosx + 7cosx = 8cosx -4cos + 8cosx = 0 Solving -4cos + 8cosx = 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), '4cos'. 4cos(-1 + 2x) = 0 Ignore the factor 4.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 '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Add '-2x' to each side of the equation. 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 0 = 1 + -2x Simplifying 0 = 1 + -2x 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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