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Simplifying Cos(4x) + cos(8x) = cos(6x) Remove parenthesis around (4x) osC * 4x + cos(8x) = cos(6x) Reorder the terms for easier multiplication: 4osC * x + cos(8x) = cos(6x) Multiply osC * x 4osxC + cos(8x) = cos(6x) Remove parenthesis around (8x) 4osxC + cos * 8x = cos(6x) Reorder the terms for easier multiplication: 4osxC + 8cos * x = cos(6x) Multiply cos * x 4osxC + 8cosx = cos(6x) Reorder the terms: 8cosx + 4osxC = cos(6x) Remove parenthesis around (6x) 8cosx + 4osxC = cos * 6x Reorder the terms for easier multiplication: 8cosx + 4osxC = 6cos * x Multiply cos * x 8cosx + 4osxC = 6cosx Solving 8cosx + 4osxC = 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. 8cosx + -6cosx + 4osxC = 6cosx + -6cosx Combine like terms: 8cosx + -6cosx = 2cosx 2cosx + 4osxC = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 2cosx + 4osxC = 0 Add '-4osxC' to each side of the equation. 2cosx + 4osxC + -4osxC = 0 + -4osxC Combine like terms: 4osxC + -4osxC = 0 2cosx + 0 = 0 + -4osxC 2cosx = 0 + -4osxC Remove the zero: 2cosx = -4osxC Divide each side by '2osx'. c = -2C Simplifying c = -2C
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