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Given points are (cosæ,sinæ) and (-sinæ,cosæ)
Distance between two points A(x1,y1) , B(x2,y2) is
distance=√[ (-sinæ-cosæ)^2 + (cosæ-sinæ)^2]
=√ [ (-1(sinæ +cosæ))^2 + (cosæ-sinæ)^2 ]
=√ [ sin^2æ+cos^2æ+2sinæcosæ +sin^2æ+cos^2æ -2sinæcosæ ]
=√ [ sin^2æ +cos^2 +cos^2 æ+sin^2 æ]
=√[1+1]
=√2
Distance between two points A(x1,y1) , B(x2,y2) is
distance=√[ (-sinæ-cosæ)^2 + (cosæ-sinæ)^2]
=√ [ (-1(sinæ +cosæ))^2 + (cosæ-sinæ)^2 ]
=√ [ sin^2æ+cos^2æ+2sinæcosæ +sin^2æ+cos^2æ -2sinæcosæ ]
=√ [ sin^2æ +cos^2 +cos^2 æ+sin^2 æ]
=√[1+1]
=√2
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