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Math Help - graphing unit circle on calculator

  1. #1
    Junior Member jonnygill's Avatar
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    graphing unit circle on calculator

    why is it that when i type in y=\sqrt{1-x^2} i do not get a unit circle as a result?

    is that not the equation for a unit circle in terms of x?
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Quote Originally Posted by jonnygill View Post
    why is it that when i type in y=\sqrt{1-x^2} i do not get a unit circle as a result?

    is that not the equation for a unit circle in terms of x?
    That is only the top half of the circle (Remember a circle isn't a function)

    x^2+y^2=1 \iff y^2=1-x^2 \implies y=\pm\sqrt{1-x^2}

    The bottom half has the negative from the plus or minus.

    If your calculator does parametric graphs you could graph the circle with

    x(t)=\cos(t),y(t)=\sin(t), t \in [0 ,2\pi]
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