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Posted by on Monday, February 13, 2012 at 6:38am.

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.

  • trig - , Monday, February 13, 2012 at 6:48am

    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

  • trig - , Monday, February 13, 2012 at 8:05am

    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

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