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Simplifying Cos(2x + 20) = sin(2x + -10) Reorder the terms: osC(20 + 2x) = sin(2x + -10) (20 * osC + 2x * osC) = sin(2x + -10) (20osC + 2osxC) = sin(2x + -10) Reorder the terms: 20osC + 2osxC = ins(-10 + 2x) 20osC + 2osxC = (-10 * ins + 2x * ins) 20osC + 2osxC = (-10ins + 2insx) Solving 20osC + 2osxC = -10ins + 2insx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Reorder the terms: 10ins + -2insx + 20osC + 2osxC = -10ins + 2insx + 10ins + -2insx Reorder the terms: 10ins + -2insx + 20osC + 2osxC = -10ins + 10ins + 2insx + -2insx Combine like terms: -10ins + 10ins = 0 10ins + -2insx + 20osC + 2osxC = 0 + 2insx + -2insx 10ins + -2insx + 20osC + 2osxC = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 10ins + -2insx + 20osC + 2osxC = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(5in + -1inx + 10oC + oxC) = 0 Ignore the factor 2.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing o 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 '(5in + -1inx + 10oC + oxC)' equal to zero and attempt to solve: Simplifying 5in + -1inx + 10oC + oxC = 0 Solving 5in + -1inx + 10oC + oxC = 0 Move all terms containing o to the left, all other terms to the right. Add '-5in' to each side of the equation. 5in + -1inx + 10oC + -5in + oxC = 0 + -5in Reorder the terms: 5in + -5in + -1inx + 10oC + oxC = 0 + -5in Combine like terms: 5in + -5in = 0 0 + -1inx + 10oC + oxC = 0 + -5in -1inx + 10oC + oxC = 0 + -5in Remove the zero: -1inx + 10oC + oxC = -5in Add 'inx' to each side of the equation. -1inx + 10oC + inx + oxC = -5in + inx Reorder the terms: -1inx + inx + 10oC + oxC = -5in + inx Combine like terms: -1inx + inx = 0 0 + 10oC + oxC = -5in + inx 10oC + oxC = -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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