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Simplifying cosine(5x + 22) = sine(3x + -4) Reorder the terms: ceinos(22 + 5x) = sine(3x + -4) (22 * ceinos + 5x * ceinos) = sine(3x + -4) (22ceinos + 5ceinosx) = sine(3x + -4) Reorder the terms: 22ceinos + 5ceinosx = eins(-4 + 3x) 22ceinos + 5ceinosx = (-4 * eins + 3x * eins) 22ceinos + 5ceinosx = (-4eins + 3einsx) Solving 22ceinos + 5ceinosx = -4eins + 3einsx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 22ceinos + 5ceinosx + 4eins + -3einsx = -4eins + 4eins + 3einsx + -3einsx Combine like terms: -4eins + 4eins = 0 22ceinos + 5ceinosx + 4eins + -3einsx = 0 + 3einsx + -3einsx 22ceinos + 5ceinosx + 4eins + -3einsx = 3einsx + -3einsx Combine like terms: 3einsx + -3einsx = 0 22ceinos + 5ceinosx + 4eins + -3einsx = 0 Factor out the Greatest Common Factor (GCF), 'eins'. eins(22co + 5cox + 4 + -3x) = 0Subproblem 1
Set the factor 'eins' equal to zero and attempt to solve: Simplifying eins = 0 Solving eins = 0 Move all terms containing c to the left, all other terms to the right. Add '-1eins' to each side of the equation. eins + -1eins = 0 + -1eins Remove the zero: 0 = -1eins Simplifying 0 = -1eins 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 '(22co + 5cox + 4 + -3x)' equal to zero and attempt to solve: Simplifying 22co + 5cox + 4 + -3x = 0 Reorder the terms: 4 + 22co + 5cox + -3x = 0 Solving 4 + 22co + 5cox + -3x = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 22co + 5cox + -4 + -3x = 0 + -4 Reorder the terms: 4 + -4 + 22co + 5cox + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 22co + 5cox + -3x = 0 + -4 22co + 5cox + -3x = 0 + -4 Combine like terms: 0 + -4 = -4 22co + 5cox + -3x = -4 Add '3x' to each side of the equation. 22co + 5cox + -3x + 3x = -4 + 3x Combine like terms: -3x + 3x = 0 22co + 5cox + 0 = -4 + 3x 22co + 5cox = -4 + 3x 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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