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Simplifying sin(4x + 10) = cos(6x) Reorder the terms: ins(10 + 4x) = cos(6x) (10 * ins + 4x * ins) = cos(6x) (10ins + 4insx) = cos(6x) Remove parenthesis around (6x) 10ins + 4insx = cos * 6x Reorder the terms for easier multiplication: 10ins + 4insx = 6cos * x Multiply cos * x 10ins + 4insx = 6cosx Solving 10ins + 4insx = 6cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -6cosx + 10ins + 4insx = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 -6cosx + 10ins + 4insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-3cox + 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 '(-3cox + 5in + 2inx)' equal to zero and attempt to solve: Simplifying -3cox + 5in + 2inx = 0 Solving -3cox + 5in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '3cox' to each side of the equation. -3cox + 5in + 3cox + 2inx = 0 + 3cox Reorder the terms: -3cox + 3cox + 5in + 2inx = 0 + 3cox Combine like terms: -3cox + 3cox = 0 0 + 5in + 2inx = 0 + 3cox 5in + 2inx = 0 + 3cox Remove the zero: 5in + 2inx = 3cox 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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