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Simplifying cos(x) + cos(3x) = cos(2x) + cos(4x) Multiply cos * x cosx + cos(3x) = cos(2x) + cos(4x) Remove parenthesis around (3x) cosx + cos * 3x = cos(2x) + cos(4x) Reorder the terms for easier multiplication: cosx + 3cos * x = cos(2x) + cos(4x) Multiply cos * x cosx + 3cosx = cos(2x) + cos(4x) Combine like terms: cosx + 3cosx = 4cosx 4cosx = cos(2x) + cos(4x) Remove parenthesis around (2x) 4cosx = cos * 2x + cos(4x) Reorder the terms for easier multiplication: 4cosx = 2cos * x + cos(4x) Multiply cos * x 4cosx = 2cosx + cos(4x) Remove parenthesis around (4x) 4cosx = 2cosx + cos * 4x Reorder the terms for easier multiplication: 4cosx = 2cosx + 4cos * x Multiply cos * x 4cosx = 2cosx + 4cosx Combine like terms: 2cosx + 4cosx = 6cosx 4cosx = 6cosx Solving 4cosx = 6cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cosx' to each side of the equation. 4cosx + -6cosx = 6cosx + -6cosx Combine like terms: 4cosx + -6cosx = -2cosx -2cosx = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 -2cosx = 0 Divide each side by '-2'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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