SOLUTION: Find the cosine (cos) of the angle in standard position determined by the point (-7, -3)

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Question 1158448: Find the cosine (cos) of the angle in standard position determined by the point (-7, -3)
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
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The point is in QIII, where cosine is NEGATIVE.



cos(a) is the ratio of the adjacent leg (which is -7 in this case) to the hypotenuse length;

    the sign of the ratio should be selected as a " - " (minus).



The hypotenuse length is  sqrt%28%28-7%29%5E2+%2B+%28-3%29%5E2%29 = sqrt%2849%2B9%29 = sqrt%2858%29.



Hence, the answer is  cos(a) = - 7%2Fsqrt%2858%29.

Solved and explained.