SOLUTION: Eliminate θ, if x = 3cosecθ + 4cotθ y = 4cosecθ - 3cotθ

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Question 1157780: Eliminate θ, if
x = 3cosecθ + 4cotθ
y = 4cosecθ - 3cotθ
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!



Use Cramer's rule (or substitution or addition, but Cramer's rule is easiest)
to solve for csc(θ) and cot(θ)

Next we use the identity

You can simplify that and get
7x%5E2+-+7y%5E2+%2B+625+=+0
Edwin