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Simplifying cos(x) + -1cos(3x) + -1cos(5x) + cos(7x) = 1 Multiply cos * x cosx + -1cos(3x) + -1cos(5x) + cos(7x) = 1 Remove parenthesis around (3x) cosx + -1cos * 3x + -1cos(5x) + cos(7x) = 1 Reorder the terms for easier multiplication: cosx + -1 * 3cos * x + -1cos(5x) + cos(7x) = 1 Multiply -1 * 3 cosx + -3cos * x + -1cos(5x) + cos(7x) = 1 Multiply cos * x cosx + -3cosx + -1cos(5x) + cos(7x) = 1 Remove parenthesis around (5x) cosx + -3cosx + -1cos * 5x + cos(7x) = 1 Reorder the terms for easier multiplication: cosx + -3cosx + -1 * 5cos * x + cos(7x) = 1 Multiply -1 * 5 cosx + -3cosx + -5cos * x + cos(7x) = 1 Multiply cos * x cosx + -3cosx + -5cosx + cos(7x) = 1 Remove parenthesis around (7x) cosx + -3cosx + -5cosx + cos * 7x = 1 Reorder the terms for easier multiplication: cosx + -3cosx + -5cosx + 7cos * x = 1 Multiply cos * x cosx + -3cosx + -5cosx + 7cosx = 1 Combine like terms: cosx + -3cosx = -2cosx -2cosx + -5cosx + 7cosx = 1 Combine like terms: -2cosx + -5cosx = -7cosx -7cosx + 7cosx = 1 Combine like terms: -7cosx + 7cosx = 0 0 = 1 Solving 0 = 1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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