SOLUTION: if sin alpha =2/3 for pi/2≤alpha≤pi and cos beta =-5/7 for pi≤beta≤3pi/2, find the value of cos(alpha+beta)

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Question 873143: if sin alpha =2/3 for pi/2≤alpha≤pi and cos beta =-5/7 for pi≤beta≤3pi/2, find the value of cos(alpha+beta)
Answer by lwsshak3(11628) About Me  (Show Source):
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if sin alpha =2/3 for pi/2≤alpha≤pi and cos beta =-5/7 for pi≤beta≤3pi/2, find the value of cos(alpha+beta)
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sin%28alpha%29=2%2F3 (in quadrant II in which sin>0, cos<0)

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cos%28beta%29=-5%2F7 (in quadrant III in which sin<0, cos<0)

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cos%28alpha%29%2B%28beta%29=cos%28alpha%29%2Acos%28beta%29-sin%28alpha%29%2Asin%28beta%29