(secA - cosA )² +(cosecA - sinA )² =cot²A +tan²A -1
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L.H.S.=(secA-cosA)²+(cosecA-sinA)²-(cotA-tanA)²
=sec^2A-2secAcosA+cos^2A+cosec^2A-2cosecAsinA+sin^2A-cot^2A+2cotAtanA-tan^2A
=1+tan^2A-2+1+1-2+2-tan^2A
=1
=R.H.S
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