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Simplifying (cotx + -1)(sinx + 1) = 0 Reorder the terms: (-1 + cotx)(sinx + 1) = 0 Reorder the terms: (-1 + cotx)(1 + insx) = 0 Multiply (-1 + cotx) * (1 + insx) (-1(1 + insx) + cotx(1 + insx)) = 0 ((1 * -1 + insx * -1) + cotx(1 + insx)) = 0 ((-1 + -1insx) + cotx(1 + insx)) = 0 (-1 + -1insx + (1 * cotx + insx * cotx)) = 0 Reorder the terms: (-1 + -1insx + (cinostx2 + 1cotx)) = 0 (-1 + -1insx + (cinostx2 + 1cotx)) = 0 Reorder the terms: (-1 + cinostx2 + 1cotx + -1insx) = 0 (-1 + cinostx2 + 1cotx + -1insx) = 0 Solving -1 + cinostx2 + 1cotx + -1insx = 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 + cinostx2 + 1cotx + 1 + -1insx = 0 + 1 Reorder the terms: -1 + 1 + cinostx2 + 1cotx + -1insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + cinostx2 + 1cotx + -1insx = 0 + 1 cinostx2 + 1cotx + -1insx = 0 + 1 Combine like terms: 0 + 1 = 1 cinostx2 + 1cotx + -1insx = 1 Add 'insx' to each side of the equation. cinostx2 + 1cotx + -1insx + insx = 1 + insx Combine like terms: -1insx + insx = 0 cinostx2 + 1cotx + 0 = 1 + insx cinostx2 + 1cotx = 1 + insx Reorder the terms: -1 + cinostx2 + 1cotx + -1insx = 1 + insx + -1 + -1insx Reorder the terms: -1 + cinostx2 + 1cotx + -1insx = 1 + -1 + insx + -1insx Combine like terms: 1 + -1 = 0 -1 + cinostx2 + 1cotx + -1insx = 0 + insx + -1insx -1 + cinostx2 + 1cotx + -1insx = insx + -1insx Combine like terms: insx + -1insx = 0 -1 + cinostx2 + 1cotx + -1insx = 0 The solution to this equation could not be determined.
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