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Simplifying Sin(4x) * cos(x) = sin(x) * cos(4x) Remove parenthesis around (4x) inS * 4x * cos(x) = sin(x) * cos(4x) Reorder the terms for easier multiplication: 4inS * x * cos * x = sin(x) * cos(4x) Multiply inS * x 4inxS * cos * x = sin(x) * cos(4x) Multiply inxS * cos 4cinosxS * x = sin(x) * cos(4x) Multiply cinosxS * x 4cinosx2S = sin(x) * cos(4x) Remove parenthesis around (4x) 4cinosx2S = ins * x * cos * 4x Reorder the terms for easier multiplication: 4cinosx2S = 4ins * x * cos * x Multiply ins * x 4cinosx2S = 4insx * cos * x Multiply insx * cos 4cinosx2S = 4cinos2x * x Multiply cinos2x * x 4cinosx2S = 4cinos2x2 Solving 4cinosx2S = 4cinos2x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4cinos2x2' to each side of the equation. 4cinosx2S + -4cinos2x2 = 4cinos2x2 + -4cinos2x2 Combine like terms: 4cinos2x2 + -4cinos2x2 = 0 4cinosx2S + -4cinos2x2 = 0 Factor out the Greatest Common Factor (GCF), '4cinosx2'. 4cinosx2(S + -1s) = 0 Ignore the factor 4.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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