trig
posted by Zero on .
CSC(theta)=1.92
Find Theta.
Now I know CSC = 1/sin but no matter how I enter it into my cal I get an error.

1.92 = 192 / 100 = 3 * 64 / 100 = 3 * 2 ^ 6 / 2 ^ 2 * 25
1.92 = 3 * 2 ^ 4 / 25
csc ( theta ) = 3 * 16 / 25
csc ( theta ) = 48 / 25
theta = arc csc ( 48 / 25 ) = arc sin ( 25 / 48 )
theta = 31° 23´ 17½ 
Don't know why "anonymous" went through all that ...
just do:
cscØ = 1.92
sinØ = 1/1.92 = .52808333... (keep that number in your calculator)
Ø = sin^1 (.5280833...) = appr 31.388°
if you need your angle in radians, switch your calculator to R with the DRG key and repeat the last step
Ø = .5478 radians