Question

tan60+tan45/tan60-tan45​

Answer 1

Answer:-

$= \frac{tan \: 60 + tan \: 45}{tan \: 60 - tan \: 45} \\ \\ = \frac{ \sqrt{3} + 1}{ \sqrt{3} - 1} \\ \\ = \frac{ \sqrt{3} + 1}{ \sqrt{3} - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} \\ \\ = \frac{ {( \sqrt{3} + 1)}^{2} }{ {( \sqrt{3} })^{2} - 1} \\ \\ = \frac{3 + 2 \sqrt{3} + 1}{2} \\ \\ = \frac{4 + 2 \sqrt{3} }{2} \\ \\ = 2 + 2 \sqrt{3}$