作业帮(sin1°)^2+(sin2°)^2+…(sin88°)^2+(sin99°)^2+(sin90°)^2=?我算到一半,算不下去了只剩(sin1°)^2+(sin90°)^2+44+1/2
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 07:58:01
(sin1°)^2+(sin2°)^2+…(sin88°)^2+(sin99°)^2+(sin90°)^2=?我算到一半,算不下去了只剩(sin1°)^2+(sin90°)^2+44+1/2
(sin1°)^2+(sin2°)^2+…(sin88°)^2+(sin99°)^2+(sin90°)^2=?
我算到一半,算不下去了
只剩(sin1°)^2+(sin90°)^2+44+1/2
(sin1°)^2+(sin2°)^2+…(sin88°)^2+(sin99°)^2+(sin90°)^2=?我算到一半,算不下去了只剩(sin1°)^2+(sin90°)^2+44+1/2
99改成89才对吧
而且剩下的是sin²45,而不是sin²1°
(sin1°)^2+(sin2°)^2+…(sin88°)^2+(sin89°)^2+(sin90°)^2
=（sin²1°+sin²89°）+（sin²2°+sin²88°）+...+(sin²44+sin²46)+sin²45+sin²90°=44*1+1/2+1=45.5
注：sin45°=√2/2,sin90°=1（特殊角的正余弦好像要求记住的吧）
题目有错哦
改为
(sin1°)^2+(sin2°)^2+…(sin88°)^2+(sin89°)^2+(sin90°)^2=?
(sin1°)^2+(sin89°)^2=sin90=1
。。。。
共44个，加(sin45)^2=1/2,有个sin90=1
得：45.5
把99改为89才可算，这样，44+1/2+1=45.5
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