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Prove that the equation to the straight ...

Prove that the equation to the straight line which passes through the point `(a cos^(3) theta, a sin^(3) theta)` and is perpendicular to the straight line `x sec theta + y cosec theta= a` is `x cos theta- y sin theta= a cos 2 theta`.

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(cosec theta-sin theta)(sec theta-cos theta)=sin theta. cos theta