Question

1 - tan sq 30/ 1+ tansq 30
​

Answer 1

$\frac{1 - { \tan(30) }^{2} }{1 + { \tan(30) }^{2} } \\ = \frac{1 - ({ \frac{1}{ \sqrt{3} }) }^{2} }{1 + ({ \frac{1}{ \sqrt{3} }) }^{2} } \\ = \frac{1 - \frac{1}{3} }{1 + \frac{1}{3} } \\ = \frac{ \frac{2}{3} }{ \frac{4}{3} } = \frac{1}{2}$

Answered by Gauthmath