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Simplifying (cosx + 1)(cosx + -1) + sin2x = 0 Reorder the terms: (1 + cosx)(cosx + -1) + sin2x = 0 Reorder the terms: (1 + cosx)(-1 + cosx) + sin2x = 0 Multiply (1 + cosx) * (-1 + cosx) (1(-1 + cosx) + cosx(-1 + cosx)) + sin2x = 0 ((-1 * 1 + cosx * 1) + cosx(-1 + cosx)) + sin2x = 0 ((-1 + 1cosx) + cosx(-1 + cosx)) + sin2x = 0 (-1 + 1cosx + (-1 * cosx + cosx * cosx)) + sin2x = 0 (-1 + 1cosx + (-1cosx + c2o2s2x2)) + sin2x = 0 Combine like terms: 1cosx + -1cosx = 0 (-1 + 0 + c2o2s2x2) + sin2x = 0 (-1 + c2o2s2x2) + sin2x = 0 Solving -1 + c2o2s2x2 + in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + c2o2s2x2 + 1 + in2sx = 0 + 1 Reorder the terms: -1 + 1 + c2o2s2x2 + in2sx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + c2o2s2x2 + in2sx = 0 + 1 c2o2s2x2 + in2sx = 0 + 1 Combine like terms: 0 + 1 = 1 c2o2s2x2 + in2sx = 1 Add '-1in2sx' to each side of the equation. c2o2s2x2 + in2sx + -1in2sx = 1 + -1in2sx Combine like terms: in2sx + -1in2sx = 0 c2o2s2x2 + 0 = 1 + -1in2sx c2o2s2x2 = 1 + -1in2sx Divide each side by 'o2s2x2'. c2 = o-2s-2x-2 + -1in2o-2s-1x-1 Simplifying c2 = o-2s-2x-2 + -1in2o-2s-1x-1 Reorder the terms: c2 = -1in2o-2s-1x-1 + o-2s-2x-2 Reorder the terms: c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = -1in2o-2s-1x-1 + in2o-2s-1x-1 + o-2s-2x-2 + -1o-2s-2x-2 Combine like terms: -1in2o-2s-1x-1 + in2o-2s-1x-1 = 0 c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = 0 + o-2s-2x-2 + -1o-2s-2x-2 c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = o-2s-2x-2 + -1o-2s-2x-2 Combine like terms: o-2s-2x-2 + -1o-2s-2x-2 = 0 c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = 0 The solution to this equation could not be determined.
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