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Simplifying cos(2x + 50) = sin(2x + -20) Reorder the terms: cos(50 + 2x) = sin(2x + -20) (50 * cos + 2x * cos) = sin(2x + -20) (50cos + 2cosx) = sin(2x + -20) Reorder the terms: 50cos + 2cosx = ins(-20 + 2x) 50cos + 2cosx = (-20 * ins + 2x * ins) 50cos + 2cosx = (-20ins + 2insx) Solving 50cos + 2cosx = -20ins + 2insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 50cos + 2cosx + 20ins + -2insx = -20ins + 20ins + 2insx + -2insx Combine like terms: -20ins + 20ins = 0 50cos + 2cosx + 20ins + -2insx = 0 + 2insx + -2insx 50cos + 2cosx + 20ins + -2insx = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 50cos + 2cosx + 20ins + -2insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(25co + cox + 10in + -1inx) = 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 '(25co + cox + 10in + -1inx)' equal to zero and attempt to solve: Simplifying 25co + cox + 10in + -1inx = 0 Solving 25co + cox + 10in + -1inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-10in' to each side of the equation. 25co + cox + 10in + -10in + -1inx = 0 + -10in Combine like terms: 10in + -10in = 0 25co + cox + 0 + -1inx = 0 + -10in 25co + cox + -1inx = 0 + -10in Remove the zero: 25co + cox + -1inx = -10in Add 'inx' to each side of the equation. 25co + cox + -1inx + inx = -10in + inx Combine like terms: -1inx + inx = 0 25co + cox + 0 = -10in + inx 25co + cox = -10in + inx 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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