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Simplifying sin(x + 30) = 2cosx Reorder the terms: ins(30 + x) = 2cosx (30 * ins + x * ins) = 2cosx (30ins + insx) = 2cosx Solving 30ins + insx = 2cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -2cosx + 30ins + insx = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 -2cosx + 30ins + insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-2cox + 30in + 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 '(-2cox + 30in + inx)' equal to zero and attempt to solve: Simplifying -2cox + 30in + inx = 0 Solving -2cox + 30in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '2cox' to each side of the equation. -2cox + 30in + 2cox + inx = 0 + 2cox Reorder the terms: -2cox + 2cox + 30in + inx = 0 + 2cox Combine like terms: -2cox + 2cox = 0 0 + 30in + inx = 0 + 2cox 30in + inx = 0 + 2cox Remove the zero: 30in + inx = 2cox 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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