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Simplifying 1 + cos(6x) = 2cos2(3x) Remove parenthesis around (6x) 1 + cos * 6x = 2cos2(3x) Reorder the terms for easier multiplication: 1 + 6cos * x = 2cos2(3x) Multiply cos * x 1 + 6cosx = 2cos2(3x) Remove parenthesis around (3x) 1 + 6cosx = 2cos2 * 3x Reorder the terms for easier multiplication: 1 + 6cosx = 2 * 3cos2 * x Multiply 2 * 3 1 + 6cosx = 6cos2 * x Multiply cos2 * x 1 + 6cosx = 6cos2x Solving 1 + 6cosx = 6cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cos2x' to each side of the equation. 1 + 6cosx + -6cos2x = 6cos2x + -6cos2x Combine like terms: 6cos2x + -6cos2x = 0 1 + 6cosx + -6cos2x = 0 Add '-1' to each side of the equation. 1 + 6cosx + -1 + -6cos2x = 0 + -1 Reorder the terms: 1 + -1 + 6cosx + -6cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6cosx + -6cos2x = 0 + -1 6cosx + -6cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 6cosx + -6cos2x = -1 Reorder the terms: 1 + 6cosx + -6cos2x = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 6cosx + -6cos2x = 0 The solution to this equation could not be determined.
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