Question

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.

Answer 1

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

Answer 2

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)
<b>Ø = sin^-1 (.5280833...) = appr 31.388°</b>

if you need your angle in radians, switch your calculator to R with the DRG key and repeat the last step

Ø = .5478 radians