Question

if tan teeta +cot teeta =2 find the value of tan²teeta +cot2teeta

Answer 1

$\tan(x) + \cot(x) = 2 \\ \tan(x) + \frac{1}{ \tan(x) } = 2 \\ { (\tan(x) + \frac{1}{ \tan(x) }) }^{2} = {2}^{2} \\ {\tan }^{2} (x) + \frac{1}{ { \tan}^{2}(x) } + 2 = 4 \\ { \tan }^{2} (x) + { \cot }^{2} (x) = 2$
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Answer 2

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by Raunac yadav