Question

EVALUTE :

1-tan230°
________
1+ cot230°​

Answer 1

$\frac{1 - { \tan}^{2} 30 \degree}{1 + { \cot}^{2} 30 \degree} \\ \\ \\ \implies \frac{1 - { \big( \frac{1}{ \sqrt{3} } \big)}^{2} }{1 - {( \sqrt{3})}^{2} } \\ \\ \\ \implies \frac{ \frac{2}{3} }{ - 2} \\ \\ \\ \rightsquigarrow \bf - \frac{1}{3}$