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Math Trig

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At what two points on the unit circle is the x-coordinate equal to the y-coordinate?

Hint:Use the equation for the unit circle (x^2+y^2=1) but this time, replace y with x.

  • Math Trig - ,

    so you would get
    x^2 + x^2 = 1
    2x^2 = 1
    x^2 = 1/2 or
    x = 1/±√2 or √2/2 after rationalized

    then y = √2/2

    so the two points would be
    (√2/2,√2/2) and (-√2/2,-√2/2)

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