How do you find the exact value of the trigonometric function cot 210 degrees?

Question

4612 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-09T07:51:47

#sqrt3#

#cot210=1/(tan210)#

#tantheta# is periodic with period #180^0#

so

#tan210=tan(180+30)=tan30#

from standard angles

#tan30=sqrt3/3#

#:.cot210=1/(tan210)=1/tan30

#=1/(sqrt3/3)=3/sqrt3=sqrt3#