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Simplifying (sinx + -1cosx)(cosx + sinx) = 1 + -2cos2x Reorder the terms: (-1cosx + insx)(cosx + sinx) = 1 + -2cos2x Multiply (-1cosx + insx) * (cosx + insx) (-1cosx * (cosx + insx) + insx(cosx + insx)) = 1 + -2cos2x ((cosx * -1cosx + insx * -1cosx) + insx(cosx + insx)) = 1 + -2cos2x Reorder the terms: ((-1cinos2x2 + -1c2o2s2x2) + insx(cosx + insx)) = 1 + -2cos2x ((-1cinos2x2 + -1c2o2s2x2) + insx(cosx + insx)) = 1 + -2cos2x (-1cinos2x2 + -1c2o2s2x2 + (cosx * insx + insx * insx)) = 1 + -2cos2x (-1cinos2x2 + -1c2o2s2x2 + (cinos2x2 + i2n2s2x2)) = 1 + -2cos2x Reorder the terms: (-1cinos2x2 + cinos2x2 + -1c2o2s2x2 + i2n2s2x2) = 1 + -2cos2x Combine like terms: -1cinos2x2 + cinos2x2 = 0 (0 + -1c2o2s2x2 + i2n2s2x2) = 1 + -2cos2x (-1c2o2s2x2 + i2n2s2x2) = 1 + -2cos2x Solving -1c2o2s2x2 + i2n2s2x2 = 1 + -2cos2x Solving for variable 'c'. Reorder the terms: -1 + 2cos2x + -1c2o2s2x2 + i2n2s2x2 = 1 + -2cos2x + -1 + 2cos2x Reorder the terms: -1 + 2cos2x + -1c2o2s2x2 + i2n2s2x2 = 1 + -1 + -2cos2x + 2cos2x Combine like terms: 1 + -1 = 0 -1 + 2cos2x + -1c2o2s2x2 + i2n2s2x2 = 0 + -2cos2x + 2cos2x -1 + 2cos2x + -1c2o2s2x2 + i2n2s2x2 = -2cos2x + 2cos2x Combine like terms: -2cos2x + 2cos2x = 0 -1 + 2cos2x + -1c2o2s2x2 + i2n2s2x2 = 0 The solution to this equation could not be determined.
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