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