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Simplifying cos(2x + -10) = sin(x + 40) Reorder the terms: cos(-10 + 2x) = sin(x + 40) (-10 * cos + 2x * cos) = sin(x + 40) (-10cos + 2cosx) = sin(x + 40) Reorder the terms: -10cos + 2cosx = ins(40 + x) -10cos + 2cosx = (40 * ins + x * ins) -10cos + 2cosx = (40ins + insx) Solving -10cos + 2cosx = 40ins + insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -10cos + 2cosx + -40ins + -1insx = 40ins + -40ins + insx + -1insx Combine like terms: 40ins + -40ins = 0 -10cos + 2cosx + -40ins + -1insx = 0 + insx + -1insx -10cos + 2cosx + -40ins + -1insx = insx + -1insx Combine like terms: insx + -1insx = 0 -10cos + 2cosx + -40ins + -1insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10co + 2cox + -40in + -1inx) = 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 '(-10co + 2cox + -40in + -1inx)' equal to zero and attempt to solve: Simplifying -10co + 2cox + -40in + -1inx = 0 Solving -10co + 2cox + -40in + -1inx = 0 Move all terms containing c to the left, all other terms to the right. Add '40in' to each side of the equation. -10co + 2cox + -40in + 40in + -1inx = 0 + 40in Combine like terms: -40in + 40in = 0 -10co + 2cox + 0 + -1inx = 0 + 40in -10co + 2cox + -1inx = 0 + 40in Remove the zero: -10co + 2cox + -1inx = 40in Add 'inx' to each side of the equation. -10co + 2cox + -1inx + inx = 40in + inx Combine like terms: -1inx + inx = 0 -10co + 2cox + 0 = 40in + inx -10co + 2cox = 40in + 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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