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Simplifying cos5(20) = x * cos5(20) + cos3(20) + cos(20) Reorder the terms for easier multiplication: 20cos5 = x * cos5(20) + cos3(20) + cos(20) Reorder the terms for easier multiplication: 20cos5 = 20x * cos5 + cos3(20) + cos(20) Multiply x * cos5 20cos5 = 20cos5x + cos3(20) + cos(20) Reorder the terms for easier multiplication: 20cos5 = 20cos5x + 20cos3 + cos(20) Reorder the terms for easier multiplication: 20cos5 = 20cos5x + 20cos3 + 20cos Reorder the terms: 20cos5 = 20cos + 20cos3 + 20cos5x Solving 20cos5 = 20cos + 20cos3 + 20cos5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20cos' to each side of the equation. -20cos + 20cos5 = 20cos + 20cos3 + -20cos + 20cos5x Reorder the terms: -20cos + 20cos5 = 20cos + -20cos + 20cos3 + 20cos5x Combine like terms: 20cos + -20cos = 0 -20cos + 20cos5 = 0 + 20cos3 + 20cos5x -20cos + 20cos5 = 20cos3 + 20cos5x Add '-20cos3' to each side of the equation. -20cos + -20cos3 + 20cos5 = 20cos3 + -20cos3 + 20cos5x Combine like terms: 20cos3 + -20cos3 = 0 -20cos + -20cos3 + 20cos5 = 0 + 20cos5x -20cos + -20cos3 + 20cos5 = 20cos5x Add '-20cos5x' to each side of the equation. -20cos + -20cos3 + 20cos5 + -20cos5x = 20cos5x + -20cos5x Combine like terms: 20cos5x + -20cos5x = 0 -20cos + -20cos3 + 20cos5 + -20cos5x = 0 Factor out the Greatest Common Factor (GCF), '20cos'. 20cos(-1 + -1s2 + s4 + -1s4x) = 0 Ignore the factor 20.Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 0 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 '(-1 + -1s2 + s4 + -1s4x)' equal to zero and attempt to solve: Simplifying -1 + -1s2 + s4 + -1s4x = 0 Solving -1 + -1s2 + s4 + -1s4x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1s2 + s4 + 1 + -1s4x = 0 + 1 Reorder the terms: -1 + 1 + -1s2 + s4 + -1s4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1s2 + s4 + -1s4x = 0 + 1 -1s2 + s4 + -1s4x = 0 + 1 Combine like terms: 0 + 1 = 1 -1s2 + s4 + -1s4x = 1 Add 's2' to each side of the equation. -1s2 + s4 + s2 + -1s4x = 1 + s2 Reorder the terms: -1s2 + s2 + s4 + -1s4x = 1 + s2 Combine like terms: -1s2 + s2 = 0 0 + s4 + -1s4x = 1 + s2 s4 + -1s4x = 1 + s2 Add '-1s4' to each side of the equation. s4 + -1s4 + -1s4x = 1 + s2 + -1s4 Combine like terms: s4 + -1s4 = 0 0 + -1s4x = 1 + s2 + -1s4 -1s4x = 1 + s2 + -1s4 Add 's4x' to each side of the equation. -1s4x + s4x = 1 + s2 + -1s4 + s4x Combine like terms: -1s4x + s4x = 0 0 = 1 + s2 + -1s4 + s4x Simplifying 0 = 1 + s2 + -1s4 + s4x 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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