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Thread: Sketching Angle in Standard Position

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    Member cmf0106's Avatar
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    Sketching Angle in Standard Position

    This is an example from the resource I am learning trig from. Where they are sketching angles in standard position. They are showing an example of -pi/4 in orange. Isn't this incorrect? the way they have this marked looks much closer to -1/3 instead of -1/4.

    This is the example in question.
    https://imgur.com/l8OfhDM

    But then here is another example how they sketch
    https://imgur.com/azQ9pMF
    Last edited by cmf0106; Jul 19th 2018 at 03:07 PM.
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    Forum Admin topsquark's Avatar
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    Re: Sketching Angle in Standard Position

    Quote Originally Posted by cmf0106 View Post
    This is an example from the resource I am learning trig from. Where they are sketching angles in standard position. They are showing an example of -pi/4 in orange. Isn't this incorrect? the way they have this marked looks much closer to -1/3 instead of -1/4.

    Attachment 38861
    pi/3 rad --> 60 degrees. This is more than 1/2 way between 0 and pi/2 --> 90 degrees.

    pi/4 rad --> 45 degrees. Looks good to me.

    -Dan
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    Re: Sketching Angle in Standard Position

    Quote Originally Posted by cmf0106 View Post
    But then here is another example how they sketch
    https://imgur.com/azQ9pMF
    You have done this in both posts.
    You have written $\Large{\color{red}{\dfrac{\pi}{3}\text{ or }\dfrac{1}{3}}}$ and that is wrong.

    $\dfrac{\pi}{3}~\&~\dfrac{1}{3}$ are two different measures.
    One third is different from pi divided by three.

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    Member cmf0106's Avatar
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    Re: Sketching Angle in Standard Position

    When I put down 1/3 its short hand for "1/3 pi" is that still wrong?
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    Re: Sketching Angle in Standard Position

    Quote Originally Posted by cmf0106 View Post
    When I put down 1/3 its short hand for "1/3 pi" is that still wrong?
    First, there is no short hand in mathematics. If you were in my class I would expect the grader to mark your paper completely incorrect if you did that. Moreover, you have included degrees in some of your images. WHY? Because a radian is the measure of an angle of a central angle in a circle that subtends an arc of length equal to the radius of the circle. Therefore clearly a radian is a number, I don't know what a degree is.
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    Re: Sketching Angle in Standard Position

    Huh. I never saw the second graph. Must have been added after I made my response.

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