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Simplifying sin(2x + 40) = cos(2x) Reorder the terms: ins(40 + 2x) = cos(2x) (40 * ins + 2x * ins) = cos(2x) (40ins + 2insx) = cos(2x) Remove parenthesis around (2x) 40ins + 2insx = cos * 2x Reorder the terms for easier multiplication: 40ins + 2insx = 2cos * x Multiply cos * x 40ins + 2insx = 2cosx Solving 40ins + 2insx = 2cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -2cosx + 40ins + 2insx = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 -2cosx + 40ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-1cox + 20in + inx) = 0 Ignore the factor 2.Subproblem 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 '(-1cox + 20in + inx)' equal to zero and attempt to solve: Simplifying -1cox + 20in + inx = 0 Solving -1cox + 20in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add 'cox' to each side of the equation. -1cox + 20in + cox + inx = 0 + cox Reorder the terms: -1cox + cox + 20in + inx = 0 + cox Combine like terms: -1cox + cox = 0 0 + 20in + inx = 0 + cox 20in + inx = 0 + cox Remove the zero: 20in + inx = 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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