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Pre Calculus 12

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Identify the point on the unite circle coressponding to an angle of 300 degrees in standard position

A (-√3, -√3/2)
B (-√3/2, 1/2)
C (1/2, -√3/2)
D (1/2, -√3 )

I don't get how to figure this out :|

  • Pre Calculus 12 -

    Ask yourself, "Which quadrant does 300° fall in" ?
    It is in quadrant IV
    what does a typical point in quadrant IV look like?
    it must be of the type (+ , - )
    the only points with that combination is D (1/2,-√3) or C(1/2 , -√3/2)

    check:
    remember tanØ = y/x

    tan 300° = -1.732.. = -√3

    for D) : -√3 / (1/2) ≠ -√3
    for C) : (-√3/2) / (1/2) - -√3

    so it is point C

  • Pre Calculus 12 -

    Oh that makes sense, thank you :)

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