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

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Answer 1 · 2015-10-17T14:20:11

#1/-sqrt3#

#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#