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.

2 answers

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
Similar Questions
    1. answers icon 2 answers
  1. Multiple ChoiceWhich expression is NOT equivalent to 1? (theta) means 0 with dash in it. A.)sin^2 (theta)+cot^2 (theta) sin^2
    1. answers icon 0 answers
  2. 1. Which expression is equivalent to cos 2theta for all values of theta ?cos^2 theta – sin^2 theta ~ cos^2 theta – 1 1 – 2
    1. answers icon 1 answer
  3. Suppose that \Theta takes values in [0,1] and its PDF is of the formf_{\Theta }(\theta )= a\theta (1-\theta )^2,\ \ \
    1. answers icon 1 answer
more similar questions