Eliminate θ between the given equations:
x = a cosec θ, y = b cot θ
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Prove the following identity:
(tan A + cot A)(cosec A - sin A)(sec A - cos A) = 1
x = a cot θ + b cosec θ, y = a cosec θ + b cot θ
x = a sec3 θ, y = b tan3 θ