Question

Tan 30° Sec 45°- Tan60° Sec 30°​

Answer 1

Answer:

=Tan 30°sec45°- Tan60°sec30°

$= \frac{1}{ \sqrt{3} } \times \sqrt{2} - \sqrt{3} \times \frac{2}{ \sqrt{3} }$

$= \frac{ \sqrt{2} }{ \sqrt{3} } - 2$

$= \frac{ \sqrt{2} \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } - 2$

$= \frac{ \sqrt{6} }{3} - 2$

$= \frac{ \sqrt{6} - 6 }{3}$

$= \frac{ \sqrt{6}(1 - \sqrt{6}) }{3}$