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Homework Help: Evalute arctan(1) and arctan(0)

  1. Mar 3, 2013 #1
    I want to evalute arctan(1) and arctan(0). Of course I could plug into my calculator but this is an analysis course and I think they want me to do as much proper mathetmatics as possible. Therefore: Is there any way to see what the values might be, like you can see what the value of sin(∏/2) for instance.
  2. jcsd
  3. Mar 3, 2013 #2
    What do you see when you look at this plot ?

    Or you can simply take the table of values of the Tan function and analyse them.
  4. Mar 3, 2013 #3

    I like Serena

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    Homework Helper

    Hi aaaa202! :smile:

    Suppose we pick a right triangle with sides x and y.
    Then the tangent of the angle is (y/x).

    arctan(1) is the angle for which (y/x)=1.
    For instance the triangle with sides 1, 1, and ##\sqrt 2##.
    Can you tell how large this angle is?
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