How do you find the value of cot ((5pi/3)cot((5π3) using the double angle or half angle identity?

1 Answer
Nov 11, 2016

- sqrt3/333

Explanation:

Trig table and unit circle -->
cot((5pi)/3) = 1/ tan ((5pi)/3)cot(5π3)=1tan(5π3)
Find tan ((5pi)/3)tan(5π3)
tan ((5pi)/3) = tan ((2pi)/3 + pi) = tan ((2pi)/3) = - sqrt3tan(5π3)=tan(2π3+π)=tan(2π3)=3
There for:
cot ((5pi)/3) = - 1/sqrt3 = - sqrt3/3cot(5π3)=13=33