Question

已知A、B为锐角,正切（（A-B）/2）=-1/3,余弦A-余弦B=根号5/5,求正弦A-正弦B

Answer 1

tg(a-b)=2tg(a-b/2)/(1-tg((a-b)/2)*tg((a-b)/2)) = -2/3 / (1-1/9)= -3/4