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Simplifying cos(7x) + cos(x) = 4cos(4x) Remove parenthesis around (7x) cos * 7x + cos(x) = 4cos(4x) Reorder the terms for easier multiplication: 7cos * x + cos(x) = 4cos(4x) Multiply cos * x 7cosx + cos(x) = 4cos(4x) Multiply cos * x 7cosx + cosx = 4cos(4x) Combine like terms: 7cosx + cosx = 8cosx 8cosx = 4cos(4x) Remove parenthesis around (4x) 8cosx = 4cos * 4x Reorder the terms for easier multiplication: 8cosx = 4 * 4cos * x Multiply 4 * 4 8cosx = 16cos * x Multiply cos * x 8cosx = 16cosx Solving 8cosx = 16cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16cosx' to each side of the equation. 8cosx + -16cosx = 16cosx + -16cosx Combine like terms: 8cosx + -16cosx = -8cosx -8cosx = 16cosx + -16cosx Combine like terms: 16cosx + -16cosx = 0 -8cosx = 0 Divide each side by '-8'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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