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Simplifying Sin(3x) * cos(x) = cos(3x) * sin(x) Remove parenthesis around (3x) inS * 3x * cos(x) = cos(3x) * sin(x) Reorder the terms for easier multiplication: 3inS * x * cos * x = cos(3x) * sin(x) Multiply inS * x 3inxS * cos * x = cos(3x) * sin(x) Multiply inxS * cos 3cinosxS * x = cos(3x) * sin(x) Multiply cinosxS * x 3cinosx^{2}S = cos(3x) * sin(x) Remove parenthesis around (3x) 3cinosx^{2}S = cos * 3x * sin(x) Reorder the terms for easier multiplication: 3cinosx^{2}S = 3cos * x * ins * x Multiply cos * x 3cinosx^{2}S = 3cosx * ins * x Multiply cosx * ins 3cinosx^{2}S = 3cinos^{2}x * x Multiply cinos^{2}x * x 3cinosx^{2}S = 3cinos^{2}x^{2}Solving 3cinosx^{2}S = 3cinos^{2}x^{2}Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cinos^{2}x^{2}' to each side of the equation. 3cinosx^{2}S + -3cinos^{2}x^{2}= 3cinos^{2}x^{2}+ -3cinos^{2}x^{2}Combine like terms: 3cinos^{2}x^{2}+ -3cinos^{2}x^{2}= 0 3cinosx^{2}S + -3cinos^{2}x^{2}= 0 Factor out the Greatest Common Factor (GCF), '3cinosx^{2}'. 3cinosx^{2}(S + -1s) = 0 Ignore the factor 3.## Subproblem 1

Set the factor 'cinosx^{2}' equal to zero and attempt to solve: Simplifying cinosx^{2}= 0 Solving cinosx^{2}= 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinosx^{2}= 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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