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(cos7°-cos8°cos15°)/(cos23°-cos8°cos15°)=

来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/05/06 07:51:00
(cos7°-cos8°cos15°)/(cos23°-cos8°cos15°)=
(cos7°-cos8°cos15°)/(cos23°-cos8°cos15°)=
cos7°=cos(15°-8°)=cos8°cos15°+sin8°sin15°,那么cos7°-cos8°cos15°=sin8°sin15°;
cos23°=cos(8°+15°)=cos8°cos15°-sin8°sin15°,那么cos23°-cos8°cos15°=-sin8°sin15°
所以原式=(sin8°sin15°)/(-sin8°sin15°)=-1