find the distance between,(asinα,-bcosα) and (-acosα,bsinα)?
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Distance between the points is
a(\sqrt{(cos \alpha -cos \beta )^{2}+(sin \alpha -sin \beta )^{2}} )
a(\sqrt{(cos^{2} \alpha +sin^{2} \alpha )+(cos^{2} \beta +sin^{2} \beta )-2cos \alpha cos \beta -2sin \alpha sin \beta })
a(\sqrt{2(1-cos( \alpha - \beta) ) } )
Hence distance between them is 2|a(sin(\frac{ \alpha - \beta }{2}))|.
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