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Simplifying cos(6x) + cos(8x) + cos(18x) + cos(20x) = 0 Remove parenthesis around (6x) cos * 6x + cos(8x) + cos(18x) + cos(20x) = 0 Reorder the terms for easier multiplication: 6cos * x + cos(8x) + cos(18x) + cos(20x) = 0 Multiply cos * x 6cosx + cos(8x) + cos(18x) + cos(20x) = 0 Remove parenthesis around (8x) 6cosx + cos * 8x + cos(18x) + cos(20x) = 0 Reorder the terms for easier multiplication: 6cosx + 8cos * x + cos(18x) + cos(20x) = 0 Multiply cos * x 6cosx + 8cosx + cos(18x) + cos(20x) = 0 Remove parenthesis around (18x) 6cosx + 8cosx + cos * 18x + cos(20x) = 0 Reorder the terms for easier multiplication: 6cosx + 8cosx + 18cos * x + cos(20x) = 0 Multiply cos * x 6cosx + 8cosx + 18cosx + cos(20x) = 0 Remove parenthesis around (20x) 6cosx + 8cosx + 18cosx + cos * 20x = 0 Reorder the terms for easier multiplication: 6cosx + 8cosx + 18cosx + 20cos * x = 0 Multiply cos * x 6cosx + 8cosx + 18cosx + 20cosx = 0 Combine like terms: 6cosx + 8cosx = 14cosx 14cosx + 18cosx + 20cosx = 0 Combine like terms: 14cosx + 18cosx = 32cosx 32cosx + 20cosx = 0 Combine like terms: 32cosx + 20cosx = 52cosx 52cosx = 0 Solving 52cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '52'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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