Question

$if \: \tan(a) + \cot(a) = 2 \:then \: prove \: that \: {tan}^{2} a \: + {cot}^{2} a = 2$

Please answer step wise!!!!!
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Answer 1

PROOF:-REFER TO ATTACHMENT!

(a+b)^2=a^2+b^2+2ab

Similarly, a^2+b^2=(a+b)^2-2ab

HOPE THIS HELPS..