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Simplifying Cos(2x) * sin(5x) = sin(2x) * cos(5x) Remove parenthesis around (2x) osC * 2x * sin(5x) = sin(2x) * cos(5x) Remove parenthesis around (5x) osC * 2x * ins * 5x = sin(2x) * cos(5x) Reorder the terms for easier multiplication: 2 * 5osC * x * ins * x = sin(2x) * cos(5x) Multiply 2 * 5 10osC * x * ins * x = sin(2x) * cos(5x) Multiply osC * x 10osxC * ins * x = sin(2x) * cos(5x) Multiply osxC * ins 10inos2xC * x = sin(2x) * cos(5x) Multiply inos2xC * x 10inos2x2C = sin(2x) * cos(5x) Remove parenthesis around (2x) 10inos2x2C = ins * 2x * cos(5x) Remove parenthesis around (5x) 10inos2x2C = ins * 2x * cos * 5x Reorder the terms for easier multiplication: 10inos2x2C = 2 * 5ins * x * cos * x Multiply 2 * 5 10inos2x2C = 10ins * x * cos * x Multiply ins * x 10inos2x2C = 10insx * cos * x Multiply insx * cos 10inos2x2C = 10cinos2x * x Multiply cinos2x * x 10inos2x2C = 10cinos2x2 Solving 10inos2x2C = 10cinos2x2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10cinos2x2' to each side of the equation. -10cinos2x2 + 10inos2x2C = 10cinos2x2 + -10cinos2x2 Combine like terms: 10cinos2x2 + -10cinos2x2 = 0 -10cinos2x2 + 10inos2x2C = 0 Factor out the Greatest Common Factor (GCF), '10inos2x2'. 10inos2x2(-1c + C) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'inos2x2' equal to zero and attempt to solve: Simplifying inos2x2 = 0 Solving inos2x2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying inos2x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1c + C)' equal to zero and attempt to solve: Simplifying -1c + C = 0 Reorder the terms: C + -1c = 0 Solving C + -1c = 0 Move all terms containing i to the left, all other terms to the right. Add '-1C' to each side of the equation. C + -1C + -1c = 0 + -1C Combine like terms: C + -1C = 0 0 + -1c = 0 + -1C -1c = 0 + -1C Remove the zero: -1c = -1C Add 'c' to each side of the equation. -1c + c = -1C + c Combine like terms: -1c + c = 0 0 = -1C + c Simplifying 0 = -1C + c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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