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Simplifying Cos(x + 10) = sin(3x + 8) Reorder the terms: osC(10 + x) = sin(3x + 8) (10 * osC + x * osC) = sin(3x + 8) (10osC + osxC) = sin(3x + 8) Reorder the terms: 10osC + osxC = ins(8 + 3x) 10osC + osxC = (8 * ins + 3x * ins) 10osC + osxC = (8ins + 3insx) Solving 10osC + osxC = 8ins + 3insx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Reorder the terms: -8ins + -3insx + 10osC + osxC = 8ins + 3insx + -8ins + -3insx Reorder the terms: -8ins + -3insx + 10osC + osxC = 8ins + -8ins + 3insx + -3insx Combine like terms: 8ins + -8ins = 0 -8ins + -3insx + 10osC + osxC = 0 + 3insx + -3insx -8ins + -3insx + 10osC + osxC = 3insx + -3insx Combine like terms: 3insx + -3insx = 0 -8ins + -3insx + 10osC + osxC = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-8in + -3inx + 10oC + oxC) = 0Subproblem 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 '(-8in + -3inx + 10oC + oxC)' equal to zero and attempt to solve: Simplifying -8in + -3inx + 10oC + oxC = 0 Solving -8in + -3inx + 10oC + oxC = 0 Move all terms containing o to the left, all other terms to the right. Add '8in' to each side of the equation. -8in + -3inx + 10oC + 8in + oxC = 0 + 8in Reorder the terms: -8in + 8in + -3inx + 10oC + oxC = 0 + 8in Combine like terms: -8in + 8in = 0 0 + -3inx + 10oC + oxC = 0 + 8in -3inx + 10oC + oxC = 0 + 8in Remove the zero: -3inx + 10oC + oxC = 8in Add '3inx' to each side of the equation. -3inx + 10oC + 3inx + oxC = 8in + 3inx Reorder the terms: -3inx + 3inx + 10oC + oxC = 8in + 3inx Combine like terms: -3inx + 3inx = 0 0 + 10oC + oxC = 8in + 3inx 10oC + oxC = 8in + 3inx 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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