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Simplifying sin(4x + 10) = cos(4x) Reorder the terms: ins(10 + 4x) = cos(4x) (10 * ins + 4x * ins) = cos(4x) (10ins + 4insx) = cos(4x) Remove parenthesis around (4x) 10ins + 4insx = cos * 4x Reorder the terms for easier multiplication: 10ins + 4insx = 4cos * x Multiply cos * x 10ins + 4insx = 4cosx Solving 10ins + 4insx = 4cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -4cosx + 10ins + 4insx = 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 -4cosx + 10ins + 4insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-2cox + 5in + 2inx) = 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 '(-2cox + 5in + 2inx)' equal to zero and attempt to solve: Simplifying -2cox + 5in + 2inx = 0 Solving -2cox + 5in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '2cox' to each side of the equation. -2cox + 5in + 2cox + 2inx = 0 + 2cox Reorder the terms: -2cox + 2cox + 5in + 2inx = 0 + 2cox Combine like terms: -2cox + 2cox = 0 0 + 5in + 2inx = 0 + 2cox 5in + 2inx = 0 + 2cox Remove the zero: 5in + 2inx = 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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