What is Cotangent(270)?

Question

27513 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-03T02:23:14

cot 270 = 0

#cot (270) = 1/(tan 270)#
tan 270 = infinity
Therefor,
#cot 270 = 1/(inf.) = 0#

Answer 2 · 2018-06-03T02:29:26

#cot270=0#

We can leverage the trig definition of #cotx#

#cotx=1/tanx#

Now, we essentially have

#1/tan270#

For the angle #270# degrees, its reference angle is #90# degrees. The coordinates for #90# degrees are #(0,1)# where

#sin90=1, cos90=0, tan90=1/0#

Plugging #1/0# into our expression for #cotx#, we get

#1/(1/0)=1*0/1=1*0=color(blue)(0)#

Thus, #color(blue)(cot270=0)#

Hope this helps!