Tan square A +cot squareA =sec squareA multiply with cosec squareA
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LHS =tan^2A+ cot ^2A
We can write the above express
Sin^2A/cos^2A+cos^2A/Sin^2A
=(sin^2A+cos^2A)÷sin^2A×cos^2A
=1/sin^2A×cos^2A
=cosec ^2A×sec^2A= RHS PROVED
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