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Simplifying 3sin(x + 10) = 4cos(x + -10) Reorder the terms: 3ins(10 + x) = 4cos(x + -10) (10 * 3ins + x * 3ins) = 4cos(x + -10) (30ins + 3insx) = 4cos(x + -10) Reorder the terms: 30ins + 3insx = 4cos(-10 + x) 30ins + 3insx = (-10 * 4cos + x * 4cos) 30ins + 3insx = (-40cos + 4cosx) Solving 30ins + 3insx = -40cos + 4cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 40cos + -4cosx + 30ins + 3insx = -40cos + 4cosx + 40cos + -4cosx Reorder the terms: 40cos + -4cosx + 30ins + 3insx = -40cos + 40cos + 4cosx + -4cosx Combine like terms: -40cos + 40cos = 0 40cos + -4cosx + 30ins + 3insx = 0 + 4cosx + -4cosx 40cos + -4cosx + 30ins + 3insx = 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 40cos + -4cosx + 30ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(40co + -4cox + 30in + 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 '(40co + -4cox + 30in + 3inx)' equal to zero and attempt to solve: Simplifying 40co + -4cox + 30in + 3inx = 0 Solving 40co + -4cox + 30in + 3inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-40co' to each side of the equation. 40co + -4cox + 30in + -40co + 3inx = 0 + -40co Reorder the terms: 40co + -40co + -4cox + 30in + 3inx = 0 + -40co Combine like terms: 40co + -40co = 0 0 + -4cox + 30in + 3inx = 0 + -40co -4cox + 30in + 3inx = 0 + -40co Remove the zero: -4cox + 30in + 3inx = -40co Add '4cox' to each side of the equation. -4cox + 30in + 4cox + 3inx = -40co + 4cox Reorder the terms: -4cox + 4cox + 30in + 3inx = -40co + 4cox Combine like terms: -4cox + 4cox = 0 0 + 30in + 3inx = -40co + 4cox 30in + 3inx = -40co + 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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