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Simplifying sin(x + 10) = cos(3x + -68) Reorder the terms: ins(10 + x) = cos(3x + -68) (10 * ins + x * ins) = cos(3x + -68) (10ins + insx) = cos(3x + -68) Reorder the terms: 10ins + insx = cos(-68 + 3x) 10ins + insx = (-68 * cos + 3x * cos) 10ins + insx = (-68cos + 3cosx) Solving 10ins + insx = -68cos + 3cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 68cos + -3cosx + 10ins + insx = -68cos + 3cosx + 68cos + -3cosx Reorder the terms: 68cos + -3cosx + 10ins + insx = -68cos + 68cos + 3cosx + -3cosx Combine like terms: -68cos + 68cos = 0 68cos + -3cosx + 10ins + insx = 0 + 3cosx + -3cosx 68cos + -3cosx + 10ins + insx = 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 68cos + -3cosx + 10ins + insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(68co + -3cox + 10in + inx) = 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 '(68co + -3cox + 10in + inx)' equal to zero and attempt to solve: Simplifying 68co + -3cox + 10in + inx = 0 Solving 68co + -3cox + 10in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-68co' to each side of the equation. 68co + -3cox + 10in + -68co + inx = 0 + -68co Reorder the terms: 68co + -68co + -3cox + 10in + inx = 0 + -68co Combine like terms: 68co + -68co = 0 0 + -3cox + 10in + inx = 0 + -68co -3cox + 10in + inx = 0 + -68co Remove the zero: -3cox + 10in + inx = -68co Add '3cox' to each side of the equation. -3cox + 10in + 3cox + inx = -68co + 3cox Reorder the terms: -3cox + 3cox + 10in + inx = -68co + 3cox Combine like terms: -3cox + 3cox = 0 0 + 10in + inx = -68co + 3cox 10in + inx = -68co + 3cox 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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