# finding solutions

• April 27th 2009, 06:21 PM
jumpman23
finding solutions
find all the solutions between 0 and 2pi

4csc^2 (x/2) - 7 csc (x/2)-2 = 0
• April 27th 2009, 06:43 PM
Reckoner
Quote:

Originally Posted by jumpman23
find all the solutions between 0 and 2pi

4csc^2 (x/2) - 7 csc (x/2)-2 = 0

This is a quadratic in $\csc\frac x2.$ Factor, and then set each factor equal to 0. Of the two resulting equations, only one has a real solution.