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Simplifying Sin(8x) + sin(4x) + -1cos(2x) = 0 Remove parenthesis around (8x) inS * 8x + sin(4x) + -1cos(2x) = 0 Reorder the terms for easier multiplication: 8inS * x + sin(4x) + -1cos(2x) = 0 Multiply inS * x 8inxS + sin(4x) + -1cos(2x) = 0 Remove parenthesis around (4x) 8inxS + ins * 4x + -1cos(2x) = 0 Reorder the terms for easier multiplication: 8inxS + 4ins * x + -1cos(2x) = 0 Multiply ins * x 8inxS + 4insx + -1cos(2x) = 0 Remove parenthesis around (2x) 8inxS + 4insx + -1cos * 2x = 0 Reorder the terms for easier multiplication: 8inxS + 4insx + -1 * 2cos * x = 0 Multiply -1 * 2 8inxS + 4insx + -2cos * x = 0 Multiply cos * x 8inxS + 4insx + -2cosx = 0 Reorder the terms: -2cosx + 4insx + 8inxS = 0 Solving -2cosx + 4insx + 8inxS = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4insx' to each side of the equation. -2cosx + 4insx + -4insx + 8inxS = 0 + -4insx Combine like terms: 4insx + -4insx = 0 -2cosx + 0 + 8inxS = 0 + -4insx -2cosx + 8inxS = 0 + -4insx Remove the zero: -2cosx + 8inxS = -4insx Add '-8inxS' to each side of the equation. -2cosx + 8inxS + -8inxS = -4insx + -8inxS Combine like terms: 8inxS + -8inxS = 0 -2cosx + 0 = -4insx + -8inxS -2cosx = -4insx + -8inxS Divide each side by '-2osx'. c = 2ino-1 + 4ino-1s-1S Simplifying c = 2ino-1 + 4ino-1s-1S
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