# Given that sin t= (-2/3) and that P(t) is a point in the 3rd quadrant, what is the cos of t?

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Daniel L.
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Mar 9, 2018

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See explanation.

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If we have

#sin^2alpha+cos^2alpha=1#

If we substitute the given value we get:

The given equation has 2 solutions. To choose one we have to use the given information about the quadrant, in which the angle is located.

The angle is located in

#cos alpha=-sqrt(5)/3#

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