SOLUTION: Given sin β = 5/13 in QII, and (6,-8) is on the terminal side of α, find the exact value of sin(α + β)
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Question 1177770: Given sin β = 5/13 in QII, and (6,-8) is on the terminal side of α, find the exact value of sin(α + β) Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
Draw a sketch showing angle β using a triangle in standard position in quadrant II with y=5 and hypotenuse 13, and showing angle α with a triangle in standard position with x=6 and y=-8.
Use your sketch and the Pythagorean Theorem to find the sine and cosine of both angles; then use sin(x+y) = sin(x)cos(y)+cos(x)sin(y)
