SOLUTION: Thanks for taking the time to see my question. I need this equation solved algebraically over the interval of 0 is equal to or less than x < 2pi The equation is: csc^(2)x=5 I

Algebra ->  Trigonometry-basics -> SOLUTION: Thanks for taking the time to see my question. I need this equation solved algebraically over the interval of 0 is equal to or less than x < 2pi The equation is: csc^(2)x=5 I      Log On


   



Question 828891: Thanks for taking the time to see my question. I need this equation solved algebraically over the interval of 0 is equal to or less than x < 2pi
The equation is: csc^(2)x=5
If you could please include steps on how you got your answer as well (so I can keep for future reviewing of this material). Thank you!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I need this equation solved algebraically over the interval of 0 is equal to or less than x < 2pi
The equation is:
csc^(2)x=5
1/sin^2x=5
sin^2x=1/5
sinx=±√(1/5)=±√5/5≈±0.4475
x≈26.58˚,153.42˚, 206.58˚, 333.42˚