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Simplifying 1 + cos(8x) = 2cos2(4x) Remove parenthesis around (8x) 1 + cos * 8x = 2cos2(4x) Reorder the terms for easier multiplication: 1 + 8cos * x = 2cos2(4x) Multiply cos * x 1 + 8cosx = 2cos2(4x) Remove parenthesis around (4x) 1 + 8cosx = 2cos2 * 4x Reorder the terms for easier multiplication: 1 + 8cosx = 2 * 4cos2 * x Multiply 2 * 4 1 + 8cosx = 8cos2 * x Multiply cos2 * x 1 + 8cosx = 8cos2x Solving 1 + 8cosx = 8cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8cos2x' to each side of the equation. 1 + 8cosx + -8cos2x = 8cos2x + -8cos2x Combine like terms: 8cos2x + -8cos2x = 0 1 + 8cosx + -8cos2x = 0 Add '-1' to each side of the equation. 1 + 8cosx + -1 + -8cos2x = 0 + -1 Reorder the terms: 1 + -1 + 8cosx + -8cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8cosx + -8cos2x = 0 + -1 8cosx + -8cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 8cosx + -8cos2x = -1 Reorder the terms: 1 + 8cosx + -8cos2x = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 8cosx + -8cos2x = 0 The solution to this equation could not be determined.
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