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Simplifying cos(2x + 20) = sin(8x + -50) Reorder the terms: cos(20 + 2x) = sin(8x + -50) (20 * cos + 2x * cos) = sin(8x + -50) (20cos + 2cosx) = sin(8x + -50) Reorder the terms: 20cos + 2cosx = ins(-50 + 8x) 20cos + 2cosx = (-50 * ins + 8x * ins) 20cos + 2cosx = (-50ins + 8insx) Solving 20cos + 2cosx = -50ins + 8insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 20cos + 2cosx + 50ins + -8insx = -50ins + 50ins + 8insx + -8insx Combine like terms: -50ins + 50ins = 0 20cos + 2cosx + 50ins + -8insx = 0 + 8insx + -8insx 20cos + 2cosx + 50ins + -8insx = 8insx + -8insx Combine like terms: 8insx + -8insx = 0 20cos + 2cosx + 50ins + -8insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(10co + cox + 25in + -4inx) = 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 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 '(10co + cox + 25in + -4inx)' equal to zero and attempt to solve: Simplifying 10co + cox + 25in + -4inx = 0 Solving 10co + cox + 25in + -4inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-25in' to each side of the equation. 10co + cox + 25in + -25in + -4inx = 0 + -25in Combine like terms: 25in + -25in = 0 10co + cox + 0 + -4inx = 0 + -25in 10co + cox + -4inx = 0 + -25in Remove the zero: 10co + cox + -4inx = -25in Add '4inx' to each side of the equation. 10co + cox + -4inx + 4inx = -25in + 4inx Combine like terms: -4inx + 4inx = 0 10co + cox + 0 = -25in + 4inx 10co + cox = -25in + 4inx 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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