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Posted by on Friday, January 16, 2009 at 8:39pm.

a question just like this one was on one of my homeworks..i asked for help but i didn't understand the explanation..so i had to gues..nd now i have that kind of quesion again on my homework. pleease explain this thoroughly
find the value of s in the interval [0,pi/2] that makes the statement true
1. tan s= 6.86874202
thnks to whoever answers and explains it:)

  • trigonometry - , Friday, January 16, 2009 at 8:57pm

    you are told that
    tan s = + 6.86874..
    so by the CAST rule, the angle must be in the I or III quadrant.
    but our domain is from 0 to pi/2 which is only quadrants I and II.

    and since they are using radians to describe the domain, we should also answer in radians.

    set your calculator to radians,
    enter
    inv tan or 2nd function tan
    6.68742..
    =

    I got s = 1.42622 radians

  • trigonometry - , Friday, January 16, 2009 at 9:02pm

    ya see this somehow doesnt work on my calculator
    [pi,3pi/2];tan s=1
    so you have to enter inv tan 1??
    confuusedd

  • trigonometry - , Friday, January 16, 2009 at 9:20pm

    let's try it with degrees first
    set you calc to degrees

    test #1
    enter

    tan
    45
    =

    you should get 1

    now work it backwards (the inverse)

    at the top left you should have either an "INV" key or 2ndF key

    enter:
    2ndF
    tan
    1
    =

    you should get 45 degrees

    If that doesn't work it could be that on your calc you have to enter the number first.

    let me know if it worked.
    If it worked, set your machine to radians and repeat the steps in the same way as noted above.

  • trigonometry - , Saturday, January 17, 2009 at 1:56pm

    when i do tan 45 i get 1.6197..
    do you know any site where i can use a calculator...

  • trigonometry - , Saturday, January 17, 2009 at 2:12pm

    http://www.mathsisfun.com/scientific-calculator.html

  • trigonometry - , Saturday, January 17, 2009 at 2:25pm

    thnks:)

  • trigonometry - , Saturday, January 17, 2009 at 4:12pm

    y912f, you have your calculator set to radians

    yes, tan 45 radians = 1.6197

    look for a key that says DRG, it will toggle your setting beteen degrees, radians and gradians

  • trigonometry - , Saturday, January 17, 2009 at 4:47pm

    ya Damon already helped me understand the problem
    i set it to radians. entered 1, atan and it equaled .785
    then entered +, pi= 3.926radians
    in other words 5pi/4
    thanks for all your help tooo!!!!

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