cos24°cos54°-sin24°cos144°=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/14 16:55:27
cos24°cos54°-sin24°cos144°=?cos24°cos54°-sin24°cos144°=?cos24°cos54°-sin24°cos144°=?cos144°=cos(90°+

cos24°cos54°-sin24°cos144°=?
cos24°cos54°-sin24°cos144°=?

cos24°cos54°-sin24°cos144°=?
cos144°=cos(90°+54°)=-sin54°

cos24°cos54°-sin24°cos144°=cos24°cos54°+sin24°sin54°
由cosacosb+sinasinb=cos(a-b)得
原式=cos(54°-24°)
=cos30°
=√3/2