Question

How do you find the value of `tan 150`?

Answer 1

`1/-sqrt3`

Explanation:

`tan(150)= tan(180-30)`

or

`tan(150)=tan(180+(-30))`

`tan(150)=(tan(180)+tan(-30))/(1-tan(180.tan(-30)))`

`tan(150)=(0+ sin(-30)/cos(-30))/(1-0)`

`tan(150)=(1/2)/(-sqrt3/2)`

`tan(150)=(1/2)* (2/-sqrt3)`

`tan(150)=1/-sqrt3`