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Simplifying cos(2x) + 2cos(4x) = cos(6x) Remove parenthesis around (2x) cos * 2x + 2cos(4x) = cos(6x) Reorder the terms for easier multiplication: 2cos * x + 2cos(4x) = cos(6x) Multiply cos * x 2cosx + 2cos(4x) = cos(6x) Remove parenthesis around (4x) 2cosx + 2cos * 4x = cos(6x) Reorder the terms for easier multiplication: 2cosx + 2 * 4cos * x = cos(6x) Multiply 2 * 4 2cosx + 8cos * x = cos(6x) Multiply cos * x 2cosx + 8cosx = cos(6x) Combine like terms: 2cosx + 8cosx = 10cosx 10cosx = cos(6x) Remove parenthesis around (6x) 10cosx = cos * 6x Reorder the terms for easier multiplication: 10cosx = 6cos * x Multiply cos * x 10cosx = 6cosx Solving 10cosx = 6cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cosx' to each side of the equation. 10cosx + -6cosx = 6cosx + -6cosx Combine like terms: 10cosx + -6cosx = 4cosx 4cosx = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 4cosx = 0 Divide each side by '4'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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