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Simplifying cos(8x) + cos(6x) = 2cos(210) * cos(x) Remove parenthesis around (8x) cos * 8x + cos(6x) = 2cos(210) * cos(x) Reorder the terms for easier multiplication: 8cos * x + cos(6x) = 2cos(210) * cos(x) Multiply cos * x 8cosx + cos(6x) = 2cos(210) * cos(x) Remove parenthesis around (6x) 8cosx + cos * 6x = 2cos(210) * cos(x) Reorder the terms for easier multiplication: 8cosx + 6cos * x = 2cos(210) * cos(x) Multiply cos * x 8cosx + 6cosx = 2cos(210) * cos(x) Combine like terms: 8cosx + 6cosx = 14cosx 14cosx = 2cos(210) * cos(x) Reorder the terms for easier multiplication: 14cosx = 2 * 210cos * cos * x Multiply 2 * 210 14cosx = 420cos * cos * x Multiply cos * cos 14cosx = 420c2o2s2 * x Multiply c2o2s2 * x 14cosx = 420c2o2s2x Solving 14cosx = 420c2o2s2x Solving for variable 'c'. Combine like terms: 420c2o2s2x + -420c2o2s2x = 0 14cosx + -420c2o2s2x = 0 Factor out the Greatest Common Factor (GCF), '14cosx'. 14cosx(1 + -30cos) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 + -30cos)' equal to zero and attempt to solve: Simplifying 1 + -30cos = 0 Solving 1 + -30cos = 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 + -30cos = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -30cos = 0 + -1 -30cos = 0 + -1 Combine like terms: 0 + -1 = -1 -30cos = -1 Divide each side by '-30os'. c = 0.03333333333o-1s-1 Simplifying c = 0.03333333333o-1s-1Solution
c = {0.03333333333o-1s-1}
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