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Simplifying cos(x) + cos(2x) + cos(3x) + cos(4x) = 0.5 Multiply cos * x cosx + cos(2x) + cos(3x) + cos(4x) = 0.5 Remove parenthesis around (2x) cosx + cos * 2x + cos(3x) + cos(4x) = 0.5 Reorder the terms for easier multiplication: cosx + 2cos * x + cos(3x) + cos(4x) = 0.5 Multiply cos * x cosx + 2cosx + cos(3x) + cos(4x) = 0.5 Remove parenthesis around (3x) cosx + 2cosx + cos * 3x + cos(4x) = 0.5 Reorder the terms for easier multiplication: cosx + 2cosx + 3cos * x + cos(4x) = 0.5 Multiply cos * x cosx + 2cosx + 3cosx + cos(4x) = 0.5 Remove parenthesis around (4x) cosx + 2cosx + 3cosx + cos * 4x = 0.5 Reorder the terms for easier multiplication: cosx + 2cosx + 3cosx + 4cos * x = 0.5 Multiply cos * x cosx + 2cosx + 3cosx + 4cosx = 0.5 Combine like terms: cosx + 2cosx = 3cosx 3cosx + 3cosx + 4cosx = 0.5 Combine like terms: 3cosx + 3cosx = 6cosx 6cosx + 4cosx = 0.5 Combine like terms: 6cosx + 4cosx = 10cosx 10cosx = 0.5 Solving 10cosx = 0.5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '10osx'. c = 0.05o-1s-1x-1 Simplifying c = 0.05o-1s-1x-1
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