(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

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(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

(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