How do you solve cot^2theta=sqrt3 cottheta in the domain 0<=theta<=360?

1 Answer
Jun 23, 2018

pi/6; (pi/2); (7pi)/6; (3pi)/2

Explanation:

cot^2 t - sqrt3cot t = 0
cot t(cot t - sqrt3) = 0
Either factor should be zero.
a. cot t = 0
Unit circle gives -->
t = pi/2 and t = (3pi)/2
b. cot t = sqrt3
Trig table and unit circle give -->
t = pi/6 and t = pi/6 + pi = (7pi)/6