作业帮 > 数学 > 作业

求cos1°+cos2°+cos3°+...+cos178°+cos179°的值(这里的数字都是度数比如1°)

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/30 03:00:06
求cos1°+cos2°+cos3°+...+cos178°+cos179°的值(这里的数字都是度数比如1°)
求cos1°+cos2°+cos3°+...+cos178°+cos179°的值
cos1°+cos2°+cos3°+...+cos178°+cos179°
=(cos1°+cos179°)+(cos2°+cos178°)+……+(cos89°+cos91°)+cos90°
=(cos1°-cos1°)+(cos2°-cos2°)+……+(cos89°-cos89°)+cos90°
=cos90°
=0