trigonometry - What is the integral value of $frac{tan 20^circ+tan40^circ+tan80^circ-tan60^circ}{sin40^circ}$?

I have tried possibly all approaches.

I first expressed $80$ as $60+20$ and $40$ as $60-20$ and then used trig identities.I later used conditional identities expressing $\tan 20^\circ+\tan40^\circ+\tan120^\circ$ as $\tan 20^\circ \tan40^\circ \tan120^\circ$. But I really can't get to the end of it .

Please help.