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Simplifying Sin(2x) * cos(5x) + -1sin(5x) * cos(2x) = 0 Remove parenthesis around (2x) inS * 2x * cos(5x) + -1sin(5x) * cos(2x) = 0 Remove parenthesis around (5x) inS * 2x * cos * 5x + -1sin(5x) * cos(2x) = 0 Reorder the terms for easier multiplication: 2 * 5inS * x * cos * x + -1sin(5x) * cos(2x) = 0 Multiply 2 * 5 10inS * x * cos * x + -1sin(5x) * cos(2x) = 0 Multiply inS * x 10inxS * cos * x + -1sin(5x) * cos(2x) = 0 Multiply inxS * cos 10cinosxS * x + -1sin(5x) * cos(2x) = 0 Multiply cinosxS * x 10cinosx2S + -1sin(5x) * cos(2x) = 0 Remove parenthesis around (5x) 10cinosx2S + -1ins * 5x * cos(2x) = 0 Remove parenthesis around (2x) 10cinosx2S + -1ins * 5x * cos * 2x = 0 Reorder the terms for easier multiplication: 10cinosx2S + -1 * 5 * 2ins * x * cos * x = 0 Multiply -1 * 5 10cinosx2S + -5 * 2ins * x * cos * x = 0 Multiply -5 * 2 10cinosx2S + -10ins * x * cos * x = 0 Multiply ins * x 10cinosx2S + -10insx * cos * x = 0 Multiply insx * cos 10cinosx2S + -10cinos2x * x = 0 Multiply cinos2x * x 10cinosx2S + -10cinos2x2 = 0 Solving 10cinosx2S + -10cinos2x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '10cinosx2'. 10cinosx2(S + -1s) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'cinosx2' equal to zero and attempt to solve: Simplifying cinosx2 = 0 Solving cinosx2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinosx2 = 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 '(S + -1s)' equal to zero and attempt to solve: Simplifying S + -1s = 0 Solving S + -1s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1S' to each side of the equation. S + -1S + -1s = 0 + -1S Combine like terms: S + -1S = 0 0 + -1s = 0 + -1S -1s = 0 + -1S Remove the zero: -1s = -1S Add 's' to each side of the equation. -1s + s = -1S + s Combine like terms: -1s + s = 0 0 = -1S + s Simplifying 0 = -1S + s 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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