Question

tan 60° – tan 309
-
1+tan 60°. tan 30°​

Answer 1

Answer:

tan30 is the answer as the last value which comes is 1/root3

Answer 2

Answer:

$\frac{ \tan(60 )- \tan(30) }{1 + \tan60. \tan30}$

$\frac{ \sqrt{3} - \frac{1}{ \sqrt{3} } }{1 + \sqrt{3}. \frac{1}{ \sqrt{3} } }$

$\frac{ \frac{3 - 1}{ \sqrt{3} } }{1 + 1}$

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

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

$\frac{1}{ \sqrt{3} }$