SOLUTION: find all slns in the interval [0,2pi] cot(x)^2-6 cot(x)+5=0

Algebra ->  Trigonometry-basics -> SOLUTION: find all slns in the interval [0,2pi] cot(x)^2-6 cot(x)+5=0      Log On


   

Question 629452: find all slns in the interval [0,2pi]
cot(x)^2-6 cot(x)+5=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find all slns in the interval [0,2pi]
cot(x)^2-6 cot(x)+5=0
what is slns?
**
cot(x)^2-6 cot(x)+5=0
(cotx-1)(cotx-5)=0
..
cotx=1
x=π/4 & 5π/4 (in quadrants I and III)
or
cotx=5
tanx=1/5
x≈0.1974 and 3.3390 (in quadrants I and III)