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Math Help - trig functions

  1. #1
    Member >_<SHY_GUY>_<'s Avatar
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    Question trig functions

    how can you find the trig functions of...?

    1. csc theta= 4 Constraint: cot theta < 0

    2. tan is undefined constraint : pi < or equal to theata and 2 pi is greater than or equal to theta.


    any help will be appreciated...thank you
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by >_<SHY_GUY>_< View Post
    how can you find the trig functions of...?

    1. csc theta= 4 Constraint: cot theta < 0

    2. tan is undefined constraint : pi < or equal to theata and 2 pi is greater than or equal to theta.


    any help will be appreciated...thank you

    First remember that

     \csc(\theta)=\frac{1}{\sin(\theta)}=4 \iff \sin(\theta)=\frac{1}{4}

    We know that sine is only postive in quadrants I and II

    our constraint is that cotangent is negative.
    The cotangent is negative in quadrants II and III.

    So Theta is equal to

     \theta = \pi - \sin^{-1} \left( \frac{1}{4} \right)

    I hope that this gets you started.

    Good luck.
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