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