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Simplifying Cosx = cotx(secx) Multiply cotx * cesx osxC = c^{2}eostx^{2}Solving osxC = c^{2}eostx^{2}Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '-1c^{2}eostx^{2}' to each side of the equation. -1c^{2}eostx^{2}+ osxC = c^{2}eostx^{2}+ -1c^{2}eostx^{2}Combine like terms: c^{2}eostx^{2}+ -1c^{2}eostx^{2}= 0 -1c^{2}eostx^{2}+ osxC = 0 Factor out the Greatest Common Factor (GCF), 'osx'. osx(-1c^{2}etx + C) = 0## Subproblem 1

Set the factor 'osx' equal to zero and attempt to solve: Simplifying osx = 0 Solving osx = 0 Move all terms containing o to the left, all other terms to the right. Simplifying osx = 0 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 '(-1c^{2}etx + C)' equal to zero and attempt to solve: Simplifying -1c^{2}etx + C = 0 Reorder the terms: C + -1c^{2}etx = 0 Solving C + -1c^{2}etx = 0 Move all terms containing o to the left, all other terms to the right. Add '-1C' to each side of the equation. C + -1C + -1c^{2}etx = 0 + -1C Combine like terms: C + -1C = 0 0 + -1c^{2}etx = 0 + -1C -1c^{2}etx = 0 + -1C Remove the zero: -1c^{2}etx = -1C Add 'c^{2}etx' to each side of the equation. -1c^{2}etx + c^{2}etx = -1C + c^{2}etx Combine like terms: -1c^{2}etx + c^{2}etx = 0 0 = -1C + c^{2}etx Simplifying 0 = -1C + c^{2}etx 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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