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OpenStudy (anonymous):
if a and b are two angles in Quadrant II such that tan a = -1/2 and tan B = -2/3 find cos(a+b)
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OpenStudy (anonymous):
You can use the mother equation to derive cos(a+b)=cos(a)cos(b)-sin(a)sin(b) |dw:1327888004419:dw| -3/2sin(b) = cos(b) -2sin(a) = cos(a) cos(a+b) = 3sin(a)sin(b)-1/3cos(a)cos(b) take your pick = 3/2cos(a)(2/3cos(b))-1/3cos(a)cos(b) = 2/3cos(a)cos(b)
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