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Simplifying cos(3x) + cos(5x) = cos(x) Remove parenthesis around (3x) cos * 3x + cos(5x) = cos(x) Reorder the terms for easier multiplication: 3cos * x + cos(5x) = cos(x) Multiply cos * x 3cosx + cos(5x) = cos(x) Remove parenthesis around (5x) 3cosx + cos * 5x = cos(x) Reorder the terms for easier multiplication: 3cosx + 5cos * x = cos(x) Multiply cos * x 3cosx + 5cosx = cos(x) Combine like terms: 3cosx + 5cosx = 8cosx 8cosx = cos(x) Multiply cos * x 8cosx = cosx Solving 8cosx = cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cosx' to each side of the equation. 8cosx + -1cosx = cosx + -1cosx Combine like terms: 8cosx + -1cosx = 7cosx 7cosx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 7cosx = 0 Divide each side by '7'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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