cos15°sin9°+sin6°/sin15°sin9°—cos6°=

问题描述:

cos15°sin9°+sin6°/sin15°sin9°—cos6°=

原式=[cos15sin9+sin(15-9)]/[sin15sin9-cos(15-9)]=(cos15sin9+sin15cos9-cos15sin9)/(sin15sin9-cos15cos9-sin15sin9)=sin15cos9/(-cos15cos9)=sin15/cos15=-tan15=-tan(45-30)=-(tan45-tan30)/(1+tan45tan30)=-2+...