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Simplifying 0 = cos(2x) + -1(0.5(-1sin(x) + 3sin(3x))) Remove parenthesis around (2x) 0 = cos * 2x + -1(0.5(-1sin(x) + 3sin(3x))) Reorder the terms for easier multiplication: 0 = 2cos * x + -1(0.5(-1sin(x) + 3sin(3x))) Multiply cos * x 0 = 2cosx + -1(0.5(-1sin(x) + 3sin(3x))) Multiply ins * x 0 = 2cosx + -1(0.5(-1insx + 3sin(3x))) Remove parenthesis around (3x) 0 = 2cosx + -1(0.5(-1insx + 3ins * 3x)) Reorder the terms for easier multiplication: 0 = 2cosx + -1(0.5(-1insx + 3 * 3ins * x)) Multiply 3 * 3 0 = 2cosx + -1(0.5(-1insx + 9ins * x)) Multiply ins * x 0 = 2cosx + -1(0.5(-1insx + 9insx)) Combine like terms: -1insx + 9insx = 8insx 0 = 2cosx + -1(0.5(8insx)) Remove parenthesis around (8insx) 0 = 2cosx + -1(0.5 * 8insx) Multiply 0.5 * 8 0 = 2cosx + -1(4insx) Remove parenthesis around (4insx) 0 = 2cosx + -1 * 4insx Multiply -1 * 4 0 = 2cosx + -4insx Solving 0 = 2cosx + -4insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cosx' to each side of the equation. 0 + -2cosx = 2cosx + -2cosx + -4insx Remove the zero: -2cosx = 2cosx + -2cosx + -4insx Combine like terms: 2cosx + -2cosx = 0 -2cosx = 0 + -4insx -2cosx = -4insx Divide each side by '-2osx'. c = 2ino-1 Simplifying c = 2ino-1
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