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Simplifying (cos2x + 1)(cos2x + 1) = 0 Reorder the terms: (1 + cos2x)(cos2x + 1) = 0 Reorder the terms: (1 + cos2x)(1 + cos2x) = 0 Multiply (1 + cos2x) * (1 + cos2x) (1(1 + cos2x) + cos2x(1 + cos2x)) = 0 ((1 * 1 + cos2x * 1) + cos2x(1 + cos2x)) = 0 ((1 + 1cos2x) + cos2x(1 + cos2x)) = 0 (1 + 1cos2x + (1 * cos2x + cos2x * cos2x)) = 0 (1 + 1cos2x + (1cos2x + c2o2s4x2)) = 0 Combine like terms: 1cos2x + 1cos2x = 2cos2x (1 + 2cos2x + c2o2s4x2) = 0 Solving 1 + 2cos2x + c2o2s4x2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + cos2x)(1 + cos2x) = 0Subproblem 1
Set the factor '(1 + cos2x)' equal to zero and attempt to solve: Simplifying 1 + cos2x = 0 Solving 1 + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + cos2x = 0 + -1 cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 cos2x = -1 Divide each side by 'os2x'. c = -1o-1s-2x-1 Simplifying c = -1o-1s-2x-1Subproblem 2
Set the factor '(1 + cos2x)' equal to zero and attempt to solve: Simplifying 1 + cos2x = 0 Solving 1 + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + cos2x = 0 + -1 cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 cos2x = -1 Divide each side by 'os2x'. c = -1o-1s-2x-1 Simplifying c = -1o-1s-2x-1Solution
c = {-1o-1s-2x-1, -1o-1s-2x-1}
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