How do you find the value of tan 150?

1 Answer

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