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Simplifying cos(x) + cos(3x) + 2cos(2x) = 0 Multiply cos * x cosx + cos(3x) + 2cos(2x) = 0 Remove parenthesis around (3x) cosx + cos * 3x + 2cos(2x) = 0 Reorder the terms for easier multiplication: cosx + 3cos * x + 2cos(2x) = 0 Multiply cos * x cosx + 3cosx + 2cos(2x) = 0 Remove parenthesis around (2x) cosx + 3cosx + 2cos * 2x = 0 Reorder the terms for easier multiplication: cosx + 3cosx + 2 * 2cos * x = 0 Multiply 2 * 2 cosx + 3cosx + 4cos * x = 0 Multiply cos * x cosx + 3cosx + 4cosx = 0 Combine like terms: cosx + 3cosx = 4cosx 4cosx + 4cosx = 0 Combine like terms: 4cosx + 4cosx = 8cosx 8cosx = 0 Solving 8cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '8'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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