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Simplifying Sin(3x) * cos(x) + -1cos(3x) * sin(x) = 0 Remove parenthesis around (3x) inS * 3x * cos(x) + -1cos(3x) * sin(x) = 0 Reorder the terms for easier multiplication: 3inS * x * cos * x + -1cos(3x) * sin(x) = 0 Multiply inS * x 3inxS * cos * x + -1cos(3x) * sin(x) = 0 Multiply inxS * cos 3cinosxS * x + -1cos(3x) * sin(x) = 0 Multiply cinosxS * x 3cinosx2S + -1cos(3x) * sin(x) = 0 Remove parenthesis around (3x) 3cinosx2S + -1cos * 3x * sin(x) = 0 Reorder the terms for easier multiplication: 3cinosx2S + -1 * 3cos * x * ins * x = 0 Multiply -1 * 3 3cinosx2S + -3cos * x * ins * x = 0 Multiply cos * x 3cinosx2S + -3cosx * ins * x = 0 Multiply cosx * ins 3cinosx2S + -3cinos2x * x = 0 Multiply cinos2x * x 3cinosx2S + -3cinos2x2 = 0 Solving 3cinosx2S + -3cinos2x2 = 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), '3cinosx2'. 3cinosx2(S + -1s) = 0 Ignore the factor 3.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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