Examples of Math Problems: tan α = 12/5, α lies in quadrant III, and cos β = -20/29 , β lies in quadrant II Find sin (α + β). A) -152/377, B)352/377, C) 345/377, D)135/377

Sunday, August 11, 2013

tan α = 12/5, α lies in quadrant III, and cos β = -20/29 , β lies in quadrant II Find sin (α + β). A) -152/377, B)352/377, C) 345/377, D)135/377

tan%28alpha%29=12%2F5%29

so in III

r=sqrt%2812%5E2%2B5%5E2%29=13

sin%28alpha%29=-12%2F13

cos%28alpha%29=-5%2F13

in II

sin%28beta%29=sqrt%281-%28-20%2F29%29%5E2%29=21%2F29

sin%28alpha%2Bbeta%29=sin%28alpha%29cos%28beta%29%2Bcos%28alpha%29sin%28beta%29

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