求证 (sina)^2-(sinb)^2=tg(a+b)(sinacosa-sinbcosb)
热心网友
求证 (sina)^2-(sinb)^2=tg(a+b)(sinacosa-sinbcosb) 证明:右=sin(a+b)(sinacosa-sinbcosb) /cos(a+b) =(sina*cosb+cosa*sinb)(sinacosa-sinbcosb)/(cosa*cosb -sina*sinb) =(sina)^2-(sinb)*(cosa*cosb-sina*sinb) /(cosa*cosb -sina*sinb) =(sina)^2 - (sinb)^2 =左