SOLUTION: Find all solutions of each equation in the interval [0, 2pi) (Cscx-2)(cotx+1)=0

Algebra ->  Test -> SOLUTION: Find all solutions of each equation in the interval [0, 2pi) (Cscx-2)(cotx+1)=0      Log On


   

Question 707582: Find all solutions of each equation in the interval [0, 2pi)
(Cscx-2)(cotx+1)=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions of each equation in the interval [0, 2pi)
(Cscx-2)(cotx+1)=0
cscx-2=0
cscx=-2
sinx=-1/2
x=7π/6, 11π/6 (in quadrants III and IV where sin and csc are>0
..
cotx+1=0
cotx=-1
tanx=-1
x=3π/4, 7π/4 (in quadrants II and IV where tan and cot<0