SOLUTION: Find the exact value of the trigonometric function given that sin u = -3/5 and cos v = -7/25 (Both u and v are in Quadrant III.) sin(u+v)

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Question 1179610: Find the exact value of the trigonometric function given that sin u = -3/5 and cos v = -7/25 (Both u and v are in Quadrant III.)
sin(u+v)

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Find the exact value of the trigonometric function given that
and

(Both u and v are in Quadrant III.)
first find and
if then and

use Pythagorean theorem to find side



or
since in Quadrant III, sine and cosine are negative, so use
and
if then and


or ...in Quadrant III sine and cosine are negative


since ,, , , then,





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