SOLUTION: how do you solve this: cot^2 theta=-5+4csc theta

Algebra ->  Trigonometry-basics -> SOLUTION: how do you solve this: cot^2 theta=-5+4csc theta      Log On


   

Question 403964: how do you solve this: cot^2 theta=-5+4csc theta
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how do you solve this: cot^2 theta=-5+4csc theta
cot^2 theta=-5+4csc theta
Multiply thru by sin^2
cos^2 = -5sin + 4
1-sin^2 = -5sin + 4
sin^2 - 5sin + 3 = 0
Now it's a quadratic in sin(theta)