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Simplifying 2sin(x + -45) = cos(x + 45) Reorder the terms: 2ins(-45 + x) = cos(x + 45) (-45 * 2ins + x * 2ins) = cos(x + 45) (-90ins + 2insx) = cos(x + 45) Reorder the terms: -90ins + 2insx = cos(45 + x) -90ins + 2insx = (45 * cos + x * cos) -90ins + 2insx = (45cos + cosx) Solving -90ins + 2insx = 45cos + cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -45cos + -1cosx + -90ins + 2insx = 45cos + cosx + -45cos + -1cosx Reorder the terms: -45cos + -1cosx + -90ins + 2insx = 45cos + -45cos + cosx + -1cosx Combine like terms: 45cos + -45cos = 0 -45cos + -1cosx + -90ins + 2insx = 0 + cosx + -1cosx -45cos + -1cosx + -90ins + 2insx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -45cos + -1cosx + -90ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-45co + -1cox + -90in + 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 '(-45co + -1cox + -90in + 2inx)' equal to zero and attempt to solve: Simplifying -45co + -1cox + -90in + 2inx = 0 Solving -45co + -1cox + -90in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '45co' to each side of the equation. -45co + -1cox + -90in + 45co + 2inx = 0 + 45co Reorder the terms: -45co + 45co + -1cox + -90in + 2inx = 0 + 45co Combine like terms: -45co + 45co = 0 0 + -1cox + -90in + 2inx = 0 + 45co -1cox + -90in + 2inx = 0 + 45co Remove the zero: -1cox + -90in + 2inx = 45co Add 'cox' to each side of the equation. -1cox + -90in + cox + 2inx = 45co + cox Reorder the terms: -1cox + cox + -90in + 2inx = 45co + cox Combine like terms: -1cox + cox = 0 0 + -90in + 2inx = 45co + cox -90in + 2inx = 45co + 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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