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Simplifying sin(2x + -55) = cos(x + -10) Reorder the terms: ins(-55 + 2x) = cos(x + -10) (-55 * ins + 2x * ins) = cos(x + -10) (-55ins + 2insx) = cos(x + -10) Reorder the terms: -55ins + 2insx = cos(-10 + x) -55ins + 2insx = (-10 * cos + x * cos) -55ins + 2insx = (-10cos + cosx) Solving -55ins + 2insx = -10cos + cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 10cos + -1cosx + -55ins + 2insx = -10cos + cosx + 10cos + -1cosx Reorder the terms: 10cos + -1cosx + -55ins + 2insx = -10cos + 10cos + cosx + -1cosx Combine like terms: -10cos + 10cos = 0 10cos + -1cosx + -55ins + 2insx = 0 + cosx + -1cosx 10cos + -1cosx + -55ins + 2insx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 10cos + -1cosx + -55ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(10co + -1cox + -55in + 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 '(10co + -1cox + -55in + 2inx)' equal to zero and attempt to solve: Simplifying 10co + -1cox + -55in + 2inx = 0 Solving 10co + -1cox + -55in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-10co' to each side of the equation. 10co + -1cox + -55in + -10co + 2inx = 0 + -10co Reorder the terms: 10co + -10co + -1cox + -55in + 2inx = 0 + -10co Combine like terms: 10co + -10co = 0 0 + -1cox + -55in + 2inx = 0 + -10co -1cox + -55in + 2inx = 0 + -10co Remove the zero: -1cox + -55in + 2inx = -10co Add 'cox' to each side of the equation. -1cox + -55in + cox + 2inx = -10co + cox Reorder the terms: -1cox + cox + -55in + 2inx = -10co + cox Combine like terms: -1cox + cox = 0 0 + -55in + 2inx = -10co + cox -55in + 2inx = -10co + cox 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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