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Simplifying sin(3x + 13) = cos Reorder the terms: ins(13 + 3x) = cos (13 * ins + 3x * ins) = cos (13ins + 3insx) = cos Solving 13ins + 3insx = cos Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -1cos + 13ins + 3insx = cos + -1cos Combine like terms: cos + -1cos = 0 -1cos + 13ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-1co + 13in + 3inx) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing i 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 '(-1co + 13in + 3inx)' equal to zero and attempt to solve: Simplifying -1co + 13in + 3inx = 0 Solving -1co + 13in + 3inx = 0 Move all terms containing i to the left, all other terms to the right. Add 'co' to each side of the equation. -1co + 13in + co + 3inx = 0 + co Reorder the terms: -1co + co + 13in + 3inx = 0 + co Combine like terms: -1co + co = 0 0 + 13in + 3inx = 0 + co 13in + 3inx = 0 + co Remove the zero: 13in + 3inx = co 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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