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Math Help - Find the value of 'trig of inverse trig' questions

  1. #1
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    Find the value of 'trig of inverse trig' questions

    Evaluate each expression

    tan(arccos(2/2))


    cos(arcsin(5/13))
    Last edited by mr fantastic; April 9th 2010 at 06:53 PM. Reason: Deleted a question that was re-posted in a new thread, re-titled thread, moved thread.
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by sydewayzlocc View Post
    Evaluate each expression

    tan(arccos(2/2))


    cos(arcsin(5/13))
    tan(arccos(\frac{\sqrt2}{2})) = tan(\frac{\pi}{4}) = 1

    what you need to notice: cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}

    what you need to remember: arccos(cos(x)) = cos^{-1}(cos(x)) = x

     \therefore  arccos(cos(\frac{\pi}{4})) = arccos(\frac{\sqrt{2}}{2})

    so, \frac{\pi}{4} = arccos(\frac{\sqrt{2}}{2})



    Try the second one.
    Last edited by mr fantastic; April 9th 2010 at 06:51 PM.
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