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Simplifying 2cos(x + -1) + -4sin(x + -1) = 0 Reorder the terms: 2cos(-1 + x) + -4sin(x + -1) = 0 (-1 * 2cos + x * 2cos) + -4sin(x + -1) = 0 (-2cos + 2cosx) + -4sin(x + -1) = 0 Reorder the terms: -2cos + 2cosx + -4ins(-1 + x) = 0 -2cos + 2cosx + (-1 * -4ins + x * -4ins) = 0 -2cos + 2cosx + (4ins + -4insx) = 0 Solving -2cos + 2cosx + 4ins + -4insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4ins' to each side of the equation. -2cos + 2cosx + 4ins + -4ins + -4insx = 0 + -4ins Combine like terms: 4ins + -4ins = 0 -2cos + 2cosx + 0 + -4insx = 0 + -4ins -2cos + 2cosx + -4insx = 0 + -4ins Remove the zero: -2cos + 2cosx + -4insx = -4ins Add '4insx' to each side of the equation. -2cos + 2cosx + -4insx + 4insx = -4ins + 4insx Combine like terms: -4insx + 4insx = 0 -2cos + 2cosx + 0 = -4ins + 4insx -2cos + 2cosx = -4ins + 4insx Reorder the terms: -2cos + 2cosx + 4ins + -4insx = -4ins + 4ins + 4insx + -4insx Combine like terms: -4ins + 4ins = 0 -2cos + 2cosx + 4ins + -4insx = 0 + 4insx + -4insx -2cos + 2cosx + 4ins + -4insx = 4insx + -4insx Combine like terms: 4insx + -4insx = 0 -2cos + 2cosx + 4ins + -4insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-1co + cox + 2in + -2inx) = 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 '(-1co + cox + 2in + -2inx)' equal to zero and attempt to solve: Simplifying -1co + cox + 2in + -2inx = 0 Solving -1co + cox + 2in + -2inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-2in' to each side of the equation. -1co + cox + 2in + -2in + -2inx = 0 + -2in Combine like terms: 2in + -2in = 0 -1co + cox + 0 + -2inx = 0 + -2in -1co + cox + -2inx = 0 + -2in Remove the zero: -1co + cox + -2inx = -2in Add '2inx' to each side of the equation. -1co + cox + -2inx + 2inx = -2in + 2inx Combine like terms: -2inx + 2inx = 0 -1co + cox + 0 = -2in + 2inx -1co + cox = -2in + 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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