Pre Calculus

Determine the quadrant in which an angle, θ, lies if θ = 8π / 7

a. 3rd quadrant
b. 1st quadrant
c. 4th quadrant
d. 2nd quadrant

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  1. 8π / 7= π + (1/7)π
    so just a bit more than π,
    so in quadrant III

    here is a "sneaky way"
    set your calculator to radians
    take sin 8π/7 to get a negative
    take cos 8π/7 to get a negative
    the only quadrant in which both sine and cosine are negative is III

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