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Simplifying cos(5x + 4) = sin(8x + -18) Reorder the terms: cos(4 + 5x) = sin(8x + -18) (4 * cos + 5x * cos) = sin(8x + -18) (4cos + 5cosx) = sin(8x + -18) Reorder the terms: 4cos + 5cosx = ins(-18 + 8x) 4cos + 5cosx = (-18 * ins + 8x * ins) 4cos + 5cosx = (-18ins + 8insx) Solving 4cos + 5cosx = -18ins + 8insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 4cos + 5cosx + 18ins + -8insx = -18ins + 18ins + 8insx + -8insx Combine like terms: -18ins + 18ins = 0 4cos + 5cosx + 18ins + -8insx = 0 + 8insx + -8insx 4cos + 5cosx + 18ins + -8insx = 8insx + -8insx Combine like terms: 8insx + -8insx = 0 4cos + 5cosx + 18ins + -8insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(4co + 5cox + 18in + -8inx) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing c 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 + 18in + -8inx)' equal to zero and attempt to solve: Simplifying 4co + 5cox + 18in + -8inx = 0 Solving 4co + 5cox + 18in + -8inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-18in' to each side of the equation. 4co + 5cox + 18in + -18in + -8inx = 0 + -18in Combine like terms: 18in + -18in = 0 4co + 5cox + 0 + -8inx = 0 + -18in 4co + 5cox + -8inx = 0 + -18in Remove the zero: 4co + 5cox + -8inx = -18in Add '8inx' to each side of the equation. 4co + 5cox + -8inx + 8inx = -18in + 8inx Combine like terms: -8inx + 8inx = 0 4co + 5cox + 0 = -18in + 8inx 4co + 5cox = -18in + 8inx 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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