how would I solve for csc theta = 2.3 on my calculator and get an answer in degrees?

Question

cscΦ = 2.3

 

How would I find theta in degrees using my graphing calculator. Would I just use sin on both sides to cancel out theta or would I have to do something else?

Answer 1

csc θ = 2.3

sin θ = 0.4347826      sin = 1 / csc

 

Use the inverse function sin^-1 0.4347826 = θ

 

I get 25° 46' 17.26"

 

This is the solution only for QI. 

If you want general solutions you must include QIII and all multiples.