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Simplifying cos(2x + 20) = sin(x + -5) Reorder the terms: cos(20 + 2x) = sin(x + -5) (20 * cos + 2x * cos) = sin(x + -5) (20cos + 2cosx) = sin(x + -5) Reorder the terms: 20cos + 2cosx = ins(-5 + x) 20cos + 2cosx = (-5 * ins + x * ins) 20cos + 2cosx = (-5ins + insx) Solving 20cos + 2cosx = -5ins + insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 20cos + 2cosx + 5ins + -1insx = -5ins + 5ins + insx + -1insx Combine like terms: -5ins + 5ins = 0 20cos + 2cosx + 5ins + -1insx = 0 + insx + -1insx 20cos + 2cosx + 5ins + -1insx = insx + -1insx Combine like terms: insx + -1insx = 0 20cos + 2cosx + 5ins + -1insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(20co + 2cox + 5in + -1inx) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 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 = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s 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 '(20co + 2cox + 5in + -1inx)' equal to zero and attempt to solve: Simplifying 20co + 2cox + 5in + -1inx = 0 Solving 20co + 2cox + 5in + -1inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-5in' to each side of the equation. 20co + 2cox + 5in + -5in + -1inx = 0 + -5in Combine like terms: 5in + -5in = 0 20co + 2cox + 0 + -1inx = 0 + -5in 20co + 2cox + -1inx = 0 + -5in Remove the zero: 20co + 2cox + -1inx = -5in Add 'inx' to each side of the equation. 20co + 2cox + -1inx + inx = -5in + inx Combine like terms: -1inx + inx = 0 20co + 2cox + 0 = -5in + inx 20co + 2cox = -5in + inx 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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