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Simplifying g(x) = 3Sin(4x) + 4Cos(3x) Multiply g * x gx = 3Sin(4x) + 4Cos(3x) Remove parenthesis around (4x) gx = 3inS * 4x + 4Cos(3x) Reorder the terms for easier multiplication: gx = 3 * 4inS * x + 4Cos(3x) Multiply 3 * 4 gx = 12inS * x + 4Cos(3x) Multiply inS * x gx = 12inxS + 4Cos(3x) Remove parenthesis around (3x) gx = 12inxS + 4osC * 3x Reorder the terms for easier multiplication: gx = 12inxS + 4 * 3osC * x Multiply 4 * 3 gx = 12inxS + 12osC * x Multiply osC * x gx = 12inxS + 12osxC Solving gx = 12inxS + 12osxC Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 12inS + 12osC Simplifying g = 12inS + 12osC
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