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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 '-1insx' to each side of the equation. cinostx2 + 1cotx + 1insx + -1insx = -1 + -1insx Combine like terms: 1insx + -1insx = 0 cinostx2 + 1cotx + 0 = -1 + -1insx cinostx2 + 1cotx = -1 + -1insx Reorder the terms: 1 + cinostx2 + 1cotx + insx = -1 + -1insx + 1 + insx Reorder the terms: 1 + cinostx2 + 1cotx + insx = -1 + 1 + -1insx + insx Combine like terms: -1 + 1 = 0 1 + cinostx2 + 1cotx + insx = 0 + -1insx + insx 1 + cinostx2 + 1cotx + insx = -1insx + insx Combine like terms: -1insx + insx = 0 1 + cinostx2 + 1cotx + insx = 0 The solution to this equation could not be determined.
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