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Simplifying sin(9x + 7) = -1cos(11x + 1) Reorder the terms: ins(7 + 9x) = -1cos(11x + 1) (7 * ins + 9x * ins) = -1cos(11x + 1) (7ins + 9insx) = -1cos(11x + 1) Reorder the terms: 7ins + 9insx = -1cos(1 + 11x) 7ins + 9insx = (1 * -1cos + 11x * -1cos) 7ins + 9insx = (-1cos + -11cosx) Solving 7ins + 9insx = -1cos + -11cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: cos + 11cosx + 7ins + 9insx = -1cos + -11cosx + cos + 11cosx Reorder the terms: cos + 11cosx + 7ins + 9insx = -1cos + cos + -11cosx + 11cosx Combine like terms: -1cos + cos = 0 cos + 11cosx + 7ins + 9insx = 0 + -11cosx + 11cosx cos + 11cosx + 7ins + 9insx = -11cosx + 11cosx Combine like terms: -11cosx + 11cosx = 0 cos + 11cosx + 7ins + 9insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(co + 11cox + 7in + 9inx) = 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 '(co + 11cox + 7in + 9inx)' equal to zero and attempt to solve: Simplifying co + 11cox + 7in + 9inx = 0 Solving co + 11cox + 7in + 9inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1co' to each side of the equation. co + 11cox + 7in + -1co + 9inx = 0 + -1co Reorder the terms: co + -1co + 11cox + 7in + 9inx = 0 + -1co Combine like terms: co + -1co = 0 0 + 11cox + 7in + 9inx = 0 + -1co 11cox + 7in + 9inx = 0 + -1co Remove the zero: 11cox + 7in + 9inx = -1co Add '-11cox' to each side of the equation. 11cox + 7in + -11cox + 9inx = -1co + -11cox Reorder the terms: 11cox + -11cox + 7in + 9inx = -1co + -11cox Combine like terms: 11cox + -11cox = 0 0 + 7in + 9inx = -1co + -11cox 7in + 9inx = -1co + -11cox 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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