How do I find the value of cot 5pi / 6?

Question

How do I find the value of cot 5pi / 6?

2 Answers

Impact of this question

48812 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-25T23:36:43

Find $cot ((5pi)/6)$

Ans: $- sqrt3$

Explanation:

On the trig unit circle,
$cot ((5pi)/6) = cot (-pi/6 + pi) = - cot (pi/6)$
Trig Table of Special Arcs gives -->
$cot (pi/6) = sqrt3$ , then,
$cot ((5pi)/6) = -cot (pi/6) = - sqrt3$

Answer 2 · 2016-01-08T04:38:43

$-sqrt3$

Explanation:

$cot((5pi)/6)=cos((5pi)/6)/sin((5pi)/6)$

Note that $(5pi)/6$ has a reference of angle of $pi/6$ and is in Quadrant $"II"$ .

Thus, cosine will be negative and sine will be positive.

$cos(pi/6)=sqrt3/2$

$cos((5pi)/6)=-sqrt3/2$

$sin(pi/6)=1/2$

$sin((5pi)/6)=1/2$

Thus,

$cot((5pi)/6)=(-sqrt3/2)/(1/2)=-sqrt3/2(2/1)=-sqrt3$

Science

Math

Humanities

... and beyond

How do I find the value of cot 5pi / 6?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question