求值:sin21°cos81°-sin69°cos9°=_.

问题描述:

求值:sin21°cos81°-sin69°cos9°=______.

sin21°cos81°-sin69°cos9°=sin21°cos(90°-9°)-sin(90°-21°)cos9°
=sin21°sin9°-cos21°cos9°=-(cos21°cos9°-sin21°sin9°)=-cos(21°+9°)=-cos30°=-

3
2

故答案为:-
3
2