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Simplifying sin(3x + 2) = cos(10 + -4x) Reorder the terms: ins(2 + 3x) = cos(10 + -4x) (2 * ins + 3x * ins) = cos(10 + -4x) (2ins + 3insx) = cos(10 + -4x) 2ins + 3insx = (10 * cos + -4x * cos) 2ins + 3insx = (10cos + -4cosx) Solving 2ins + 3insx = 10cos + -4cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -10cos + 4cosx + 2ins + 3insx = 10cos + -4cosx + -10cos + 4cosx Reorder the terms: -10cos + 4cosx + 2ins + 3insx = 10cos + -10cos + -4cosx + 4cosx Combine like terms: 10cos + -10cos = 0 -10cos + 4cosx + 2ins + 3insx = 0 + -4cosx + 4cosx -10cos + 4cosx + 2ins + 3insx = -4cosx + 4cosx Combine like terms: -4cosx + 4cosx = 0 -10cos + 4cosx + 2ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10co + 4cox + 2in + 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 '(-10co + 4cox + 2in + 3inx)' equal to zero and attempt to solve: Simplifying -10co + 4cox + 2in + 3inx = 0 Solving -10co + 4cox + 2in + 3inx = 0 Move all terms containing i to the left, all other terms to the right. Add '10co' to each side of the equation. -10co + 4cox + 2in + 10co + 3inx = 0 + 10co Reorder the terms: -10co + 10co + 4cox + 2in + 3inx = 0 + 10co Combine like terms: -10co + 10co = 0 0 + 4cox + 2in + 3inx = 0 + 10co 4cox + 2in + 3inx = 0 + 10co Remove the zero: 4cox + 2in + 3inx = 10co Add '-4cox' to each side of the equation. 4cox + 2in + -4cox + 3inx = 10co + -4cox Reorder the terms: 4cox + -4cox + 2in + 3inx = 10co + -4cox Combine like terms: 4cox + -4cox = 0 0 + 2in + 3inx = 10co + -4cox 2in + 3inx = 10co + -4cox 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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