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ChaTho · Answer 1 · 2018-07-18T07:33:42+0000

Since

lies in the third quadrant,

must be negative. Also, because

lies on the unit circle, its coordinates must satsify

$\left(-\frac35\right)^2+y^2=1\implies y^2=(16)/(25)\implies y=\pm\frac45$

Take the negative root, since
y<0

, so that
$y=-\frac45$ .

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