(根号下(1+2sin610°cos430°))/(sin250°+cos790°)的结果是?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 18:12:33
(根号下(1+2sin610°cos430°))/(sin250°+cos790°)的结果是?

(根号下(1+2sin610°cos430°))/(sin250°+cos790°)的结果是?
(根号下(1+2sin610°cos430°))/(sin250°+cos790°)的结果是?

(根号下(1+2sin610°cos430°))/(sin250°+cos790°)的结果是?
原式=√(1+2sin250cos70)/(-sin70+cos70)
=√(sin²70+cos²70-2sin70cos70)/(-sin70+cos70)
=√(sin70-cos70)²/(-sin70+cos70)
=|sin70-cos70|/(-sin70+cos70)
=(sin70-cos70)/(-sin70+cos70)
=-1