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Simplifying (cosx * cosy + -1cotx) * dx + -1(sinx * siny) * dy = 0 Multiply cosx * cosy (c^{2}o^{2}s^{2}xy + -1cotx) * dx + -1(sinx * siny) * dy = 0 Reorder the terms: (-1cotx + c^{2}o^{2}s^{2}xy) * dx + -1(sinx * siny) * dy = 0 Reorder the terms for easier multiplication: dx(-1cotx + c^{2}o^{2}s^{2}xy) + -1(sinx * siny) * dy = 0 (-1cotx * dx + c^{2}o^{2}s^{2}xy * dx) + -1(sinx * siny) * dy = 0 (-1cdotx^{2}+ c^{2}do^{2}s^{2}x^{2}y) + -1(sinx * siny) * dy = 0 Multiply insx * insy -1cdotx^{2}+ c^{2}do^{2}s^{2}x^{2}y + -1(i^{2}n^{2}s^{2}xy) * dy = 0 Multiply i^{2}n^{2}s^{2}xy * dy -1cdotx^{2}+ c^{2}do^{2}s^{2}x^{2}y + -1di^{2}n^{2}s^{2}xy^{2}= 0 Solving -1cdotx^{2}+ c^{2}do^{2}s^{2}x^{2}y + -1di^{2}n^{2}s^{2}xy^{2}= 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'dx'. dx(-1cotx + c^{2}o^{2}s^{2}xy + -1i^{2}n^{2}s^{2}y^{2}) = 0## Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dx' to each side of the equation. dx + -1dx = 0 + -1dx Remove the zero: 0 = -1dx Simplifying 0 = -1dx 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 '(-1cotx + c^{2}o^{2}s^{2}xy + -1i^{2}n^{2}s^{2}y^{2})' equal to zero and attempt to solve: Simplifying -1cotx + c^{2}o^{2}s^{2}xy + -1i^{2}n^{2}s^{2}y^{2}= 0 Solving -1cotx + c^{2}o^{2}s^{2}xy + -1i^{2}n^{2}s^{2}y^{2}= 0 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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