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Simplifying cos(6x) + cos(2x) = cos(4x) Remove parenthesis around (6x) cos * 6x + cos(2x) = cos(4x) Reorder the terms for easier multiplication: 6cos * x + cos(2x) = cos(4x) Multiply cos * x 6cosx + cos(2x) = cos(4x) Remove parenthesis around (2x) 6cosx + cos * 2x = cos(4x) Reorder the terms for easier multiplication: 6cosx + 2cos * x = cos(4x) Multiply cos * x 6cosx + 2cosx = cos(4x) Combine like terms: 6cosx + 2cosx = 8cosx 8cosx = cos(4x) Remove parenthesis around (4x) 8cosx = cos * 4x Reorder the terms for easier multiplication: 8cosx = 4cos * x Multiply cos * x 8cosx = 4cosx Solving 8cosx = 4cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4cosx' to each side of the equation. 8cosx + -4cosx = 4cosx + -4cosx Combine like terms: 8cosx + -4cosx = 4cosx 4cosx = 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 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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