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Simplifying Sin(5x) * COS(2x) + -1cos(5x) * Sin(x) = 0 Remove parenthesis around (5x) inS * 5x * COS(2x) + -1cos(5x) * Sin(x) = 0 Remove parenthesis around (2x) inS * 5x * COS * 2x + -1cos(5x) * Sin(x) = 0 Reorder the terms for easier multiplication: 5 * 2inS * x * COS * x + -1cos(5x) * Sin(x) = 0 Multiply 5 * 2 10inS * x * COS * x + -1cos(5x) * Sin(x) = 0 Multiply inS * x 10inxS * COS * x + -1cos(5x) * Sin(x) = 0 Multiply inxS * COS 10inxCOS2 * x + -1cos(5x) * Sin(x) = 0 Multiply inxCOS2 * x 10inx2COS2 + -1cos(5x) * Sin(x) = 0 Remove parenthesis around (5x) 10inx2COS2 + -1cos * 5x * Sin(x) = 0 Reorder the terms for easier multiplication: 10inx2COS2 + -1 * 5cos * x * inS * x = 0 Multiply -1 * 5 10inx2COS2 + -5cos * x * inS * x = 0 Multiply cos * x 10inx2COS2 + -5cosx * inS * x = 0 Multiply cosx * inS 10inx2COS2 + -5cinosxS * x = 0 Multiply cinosxS * x 10inx2COS2 + -5cinosx2S = 0 Reorder the terms: -5cinosx2S + 10inx2COS2 = 0 Solving -5cinosx2S + 10inx2COS2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10inx2COS2' to each side of the equation. -5cinosx2S + 10inx2COS2 + -10inx2COS2 = 0 + -10inx2COS2 Combine like terms: 10inx2COS2 + -10inx2COS2 = 0 -5cinosx2S + 0 = 0 + -10inx2COS2 -5cinosx2S = 0 + -10inx2COS2 Remove the zero: -5cinosx2S = -10inx2COS2 Divide each side by '-5inosx2S'. c = 2o-1s-1COS Simplifying c = 2o-1s-1COS
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