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Simplifying cos(2x + 10) = sin(50 + -2x) Reorder the terms: cos(10 + 2x) = sin(50 + -2x) (10 * cos + 2x * cos) = sin(50 + -2x) (10cos + 2cosx) = sin(50 + -2x) 10cos + 2cosx = (50 * ins + -2x * ins) 10cos + 2cosx = (50ins + -2insx) Solving 10cos + 2cosx = 50ins + -2insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 10cos + 2cosx + -50ins + 2insx = 50ins + -50ins + -2insx + 2insx Combine like terms: 50ins + -50ins = 0 10cos + 2cosx + -50ins + 2insx = 0 + -2insx + 2insx 10cos + 2cosx + -50ins + 2insx = -2insx + 2insx Combine like terms: -2insx + 2insx = 0 10cos + 2cosx + -50ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(5co + cox + -25in + inx) = 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 '(5co + cox + -25in + inx)' equal to zero and attempt to solve: Simplifying 5co + cox + -25in + inx = 0 Solving 5co + cox + -25in + inx = 0 Move all terms containing c to the left, all other terms to the right. Add '25in' to each side of the equation. 5co + cox + -25in + 25in + inx = 0 + 25in Combine like terms: -25in + 25in = 0 5co + cox + 0 + inx = 0 + 25in 5co + cox + inx = 0 + 25in Remove the zero: 5co + cox + inx = 25in Add '-1inx' to each side of the equation. 5co + cox + inx + -1inx = 25in + -1inx Combine like terms: inx + -1inx = 0 5co + cox + 0 = 25in + -1inx 5co + cox = 25in + -1inx 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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