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Simplifying sin(7x + 2) = cos(5x + 4) Reorder the terms: ins(2 + 7x) = cos(5x + 4) (2 * ins + 7x * ins) = cos(5x + 4) (2ins + 7insx) = cos(5x + 4) Reorder the terms: 2ins + 7insx = cos(4 + 5x) 2ins + 7insx = (4 * cos + 5x * cos) 2ins + 7insx = (4cos + 5cosx) Solving 2ins + 7insx = 4cos + 5cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -4cos + -5cosx + 2ins + 7insx = 4cos + 5cosx + -4cos + -5cosx Reorder the terms: -4cos + -5cosx + 2ins + 7insx = 4cos + -4cos + 5cosx + -5cosx Combine like terms: 4cos + -4cos = 0 -4cos + -5cosx + 2ins + 7insx = 0 + 5cosx + -5cosx -4cos + -5cosx + 2ins + 7insx = 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 -4cos + -5cosx + 2ins + 7insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-4co + -5cox + 2in + 7inx) = 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 '(-4co + -5cox + 2in + 7inx)' equal to zero and attempt to solve: Simplifying -4co + -5cox + 2in + 7inx = 0 Solving -4co + -5cox + 2in + 7inx = 0 Move all terms containing i to the left, all other terms to the right. Add '4co' to each side of the equation. -4co + -5cox + 2in + 4co + 7inx = 0 + 4co Reorder the terms: -4co + 4co + -5cox + 2in + 7inx = 0 + 4co Combine like terms: -4co + 4co = 0 0 + -5cox + 2in + 7inx = 0 + 4co -5cox + 2in + 7inx = 0 + 4co Remove the zero: -5cox + 2in + 7inx = 4co Add '5cox' to each side of the equation. -5cox + 2in + 5cox + 7inx = 4co + 5cox Reorder the terms: -5cox + 5cox + 2in + 7inx = 4co + 5cox Combine like terms: -5cox + 5cox = 0 0 + 2in + 7inx = 4co + 5cox 2in + 7inx = 4co + 5cox 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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