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Simplifying Cotx + -1cosx = cotx(1 + -1sinx) Reorder the terms: -1cosx + otxC = cotx(1 + -1sinx) -1cosx + otxC = (1 * cotx + -1insx * cotx) Reorder the terms: -1cosx + otxC = (-1cinostx2 + 1cotx) -1cosx + otxC = (-1cinostx2 + 1cotx) Solving -1cosx + otxC = -1cinostx2 + 1cotx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'cinostx2' to each side of the equation. -1cosx + cinostx2 + otxC = -1cinostx2 + cinostx2 + 1cotx Reorder the terms: cinostx2 + -1cosx + otxC = -1cinostx2 + cinostx2 + 1cotx Combine like terms: -1cinostx2 + cinostx2 = 0 cinostx2 + -1cosx + otxC = 0 + 1cotx cinostx2 + -1cosx + otxC = 1cotx Add '-1cotx' to each side of the equation. cinostx2 + -1cosx + -1cotx + otxC = 1cotx + -1cotx Combine like terms: 1cotx + -1cotx = 0 cinostx2 + -1cosx + -1cotx + otxC = 0 Add '-1otxC' to each side of the equation. cinostx2 + -1cosx + -1cotx + otxC + -1otxC = 0 + -1otxC Combine like terms: otxC + -1otxC = 0 cinostx2 + -1cosx + -1cotx + 0 = 0 + -1otxC cinostx2 + -1cosx + -1cotx = 0 + -1otxC Remove the zero: cinostx2 + -1cosx + -1cotx = -1otxC Combine like terms: -1otxC + otxC = 0 cinostx2 + -1cosx + -1cotx + otxC = 0 Factor out the Greatest Common Factor (GCF), 'ox'. ox(cinstx + -1cs + -1ct + tC) = 0Subproblem 1
Set the factor 'ox' equal to zero and attempt to solve: Simplifying ox = 0 Solving ox = 0 Move all terms containing c to the left, all other terms to the right. Add '-1ox' to each side of the equation. ox + -1ox = 0 + -1ox Remove the zero: 0 = -1ox Simplifying 0 = -1ox The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(cinstx + -1cs + -1ct + tC)' equal to zero and attempt to solve: Simplifying cinstx + -1cs + -1ct + tC = 0 Solving cinstx + -1cs + -1ct + tC = 0 Move all terms containing c to the left, all other terms to the right. Add '-1tC' to each side of the equation. cinstx + -1cs + -1ct + tC + -1tC = 0 + -1tC Combine like terms: tC + -1tC = 0 cinstx + -1cs + -1ct + 0 = 0 + -1tC cinstx + -1cs + -1ct = 0 + -1tC Remove the zero: cinstx + -1cs + -1ct = -1tC The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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