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Simplifying 2sin(30 + -1x) = 3cosx (30 * 2ins + -1x * 2ins) = 3cosx (60ins + -2insx) = 3cosx Solving 60ins + -2insx = 3cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -3cosx + 60ins + -2insx = 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -3cosx + 60ins + -2insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-3cox + 60in + -2inx) = 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 '(-3cox + 60in + -2inx)' equal to zero and attempt to solve: Simplifying -3cox + 60in + -2inx = 0 Solving -3cox + 60in + -2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '3cox' to each side of the equation. -3cox + 60in + 3cox + -2inx = 0 + 3cox Reorder the terms: -3cox + 3cox + 60in + -2inx = 0 + 3cox Combine like terms: -3cox + 3cox = 0 0 + 60in + -2inx = 0 + 3cox 60in + -2inx = 0 + 3cox Remove the zero: 60in + -2inx = 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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