What is Cotangent(270)?

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Answer 1 · 2018-06-03T02:23:14

cot 270 = 0

$cot (270) = \frac{1}{tan 270}$ $cot (270) = 1/(tan 270)$
tan 270 = infinity
Therefor,
$cot 270 = \frac{1}{\in f .} = 0$ $cot 270 = 1/(inf.) = 0$

Answer 2 · 2018-06-03T02:29:26

$cot 270 = 0$ $cot270=0$

We can leverage the trig definition of $cot x$ $cotx$

$cot x = \frac{1}{tan x}$ $cotx=1/tanx$

Now, we essentially have

$\frac{1}{tan 270}$ $1/tan270$

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

$sin 90 = 1, cos 90 = 0, tan 90 = \frac{1}{0}$ $sin90=1, cos90=0, tan90=1/0$

Plugging $\frac{1}{0}$ $1/0$ into our expression for $cot x$ $cotx$ , we get

$\frac{1}{\frac{1}{0}} = 1 \cdot \frac{0}{1} = 1 \cdot 0 = 0$ $1/(1/0)=1*0/1=1*0=color(blue)(0)$

Thus, $cot 270 = 0$ $color(blue)(cot270=0)$

Hope this helps!