cot square theta . sec square theta =cot square theta +1
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=) [ cosec²A/ tanA] / sec²A
Converting cosecA , tanA and secA in terms of sinA and cosA.
=) [ (1/sinA)/(sinA/cosA)] / (1/cos²A)
=) [ sinA × cos²A] / [ sin²A × cosA]
=) cosA/sinA
=) cotA
Hence Proved!
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