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Simplifying cos(x + 5) = sin(3x + 9) Reorder the terms: cos(5 + x) = sin(3x + 9) (5 * cos + x * cos) = sin(3x + 9) (5cos + cosx) = sin(3x + 9) Reorder the terms: 5cos + cosx = ins(9 + 3x) 5cos + cosx = (9 * ins + 3x * ins) 5cos + cosx = (9ins + 3insx) Solving 5cos + cosx = 9ins + 3insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 5cos + cosx + -9ins + -3insx = 9ins + -9ins + 3insx + -3insx Combine like terms: 9ins + -9ins = 0 5cos + cosx + -9ins + -3insx = 0 + 3insx + -3insx 5cos + cosx + -9ins + -3insx = 3insx + -3insx Combine like terms: 3insx + -3insx = 0 5cos + cosx + -9ins + -3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(5co + cox + -9in + -3inx) = 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 '(5co + cox + -9in + -3inx)' equal to zero and attempt to solve: Simplifying 5co + cox + -9in + -3inx = 0 Solving 5co + cox + -9in + -3inx = 0 Move all terms containing c to the left, all other terms to the right. Add '9in' to each side of the equation. 5co + cox + -9in + 9in + -3inx = 0 + 9in Combine like terms: -9in + 9in = 0 5co + cox + 0 + -3inx = 0 + 9in 5co + cox + -3inx = 0 + 9in Remove the zero: 5co + cox + -3inx = 9in Add '3inx' to each side of the equation. 5co + cox + -3inx + 3inx = 9in + 3inx Combine like terms: -3inx + 3inx = 0 5co + cox + 0 = 9in + 3inx 5co + cox = 9in + 3inx 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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