a b为锐角 cos2a=-7/25 cos(a+b)=5/13 sinb=?

问题描述:

a b为锐角 cos2a=-7/25 cos(a+b)=5/13 sinb=?

cos2a=-7/252(cosa)^2-1=-7/25a、b为锐角,a+b<πcosa=3/5sina=4/5cos(a+b)=5/13 sin(a+b)=12/13sinb=sin{(a+b)-a}=sin(a+b)cosa-cos(a+b)sina=12/13*3/5-5/13*4/5=16/65