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anonymous

  • 5 years ago

Similar to my last question, csc-1[csc7pi/6] ..... would this just be 7pi/6? please explain.

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  1. amistre64
    • 5 years ago
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    ok; this is slightly different because of the order in which we have to play with the csc and csc_1 parts..

  2. amistre64
    • 5 years ago
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    csc^-1 is only going to give you angles that are in the range of -pi/2 and pi/2. They have to do that in order to make it a useable function

  3. amistre64
    • 5 years ago
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    7pi/6 is greater then pi by pi/6, like this: 6pi pi 7pi --- + --- = ---- 6 6 6

  4. amistre64
    • 5 years ago
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    its csc^-1 will spit back -pi/6 i believe

  5. anonymous
    • 5 years ago
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    so a reference angle?

  6. amistre64
    • 5 years ago
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  7. amistre64
    • 5 years ago
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    yep; the reference angle that is a match to the original...

  8. amistre64
    • 5 years ago
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    my memory might have a hiccup there tho; let me use the calculator to dbl chk meself

  9. amistre64
    • 5 years ago
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    http://www.wolframalpha.com/input/?i=csc^-1%28csc%287pi%2F6%29%29

  10. amistre64
    • 5 years ago
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    im right lol

  11. anonymous
    • 5 years ago
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    so is that original equation's answer -pi/6?

  12. amistre64
    • 5 years ago
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    yes, -pi/6 is the answer to the original question

  13. anonymous
    • 5 years ago
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    okay so how would you have an equation where it's not possible?

  14. amistre64
    • 5 years ago
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    hmm.... well, if you try to take the answer to a function that has an invalid input like tan(pi/2) that would result in a disaster

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