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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
人气:326 ℃ 时间:2020-03-20 16:53:50
解答
cos1°+cos2°+cos3°+...+cos178°+cos179°
=(cos1°+cos179°)+(cos2°+cos178°)+……+(cos89°+cos91°)+cos90°
=(cos1°-cos1°)+(cos2°-cos2°)+……+(cos89°-cos89°)+cos90°
=cos90°
=0
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