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Simplifying sin(x + 6) = cos(2x + 9) Reorder the terms: ins(6 + x) = cos(2x + 9) (6 * ins + x * ins) = cos(2x + 9) (6ins + insx) = cos(2x + 9) Reorder the terms: 6ins + insx = cos(9 + 2x) 6ins + insx = (9 * cos + 2x * cos) 6ins + insx = (9cos + 2cosx) Solving 6ins + insx = 9cos + 2cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -9cos + -2cosx + 6ins + insx = 9cos + 2cosx + -9cos + -2cosx Reorder the terms: -9cos + -2cosx + 6ins + insx = 9cos + -9cos + 2cosx + -2cosx Combine like terms: 9cos + -9cos = 0 -9cos + -2cosx + 6ins + insx = 0 + 2cosx + -2cosx -9cos + -2cosx + 6ins + insx = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 -9cos + -2cosx + 6ins + insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-9co + -2cox + 6in + inx) = 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 '(-9co + -2cox + 6in + inx)' equal to zero and attempt to solve: Simplifying -9co + -2cox + 6in + inx = 0 Solving -9co + -2cox + 6in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '9co' to each side of the equation. -9co + -2cox + 6in + 9co + inx = 0 + 9co Reorder the terms: -9co + 9co + -2cox + 6in + inx = 0 + 9co Combine like terms: -9co + 9co = 0 0 + -2cox + 6in + inx = 0 + 9co -2cox + 6in + inx = 0 + 9co Remove the zero: -2cox + 6in + inx = 9co Add '2cox' to each side of the equation. -2cox + 6in + 2cox + inx = 9co + 2cox Reorder the terms: -2cox + 2cox + 6in + inx = 9co + 2cox Combine like terms: -2cox + 2cox = 0 0 + 6in + inx = 9co + 2cox 6in + inx = 9co + 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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