Question

How do you find the value of `cot ((5pi/3)` using the double angle or half angle identity?

Answer 1

`- sqrt3/3`

Explanation:

Trig table and unit circle -->
`cot((5pi)/3) = 1/ tan ((5pi)/3)`
Find `tan ((5pi)/3)`
`tan ((5pi)/3) = tan ((2pi)/3 + pi) = tan ((2pi)/3) = - sqrt3`
There for:
`cot ((5pi)/3) = - 1/sqrt3 = - sqrt3/3`