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求值:sin21°cos81°-sin69°cos9°=.

题目详情
求值:sin21°cos81°-sin69°cos9°=______.
▼优质解答
答案和解析
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