作业帮sin²1°+sin²2°+……+sin²90°=
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/04 21:01:21
sin²1°+sin²2°+……+sin²90°=
sin²1°+sin²2°+……+sin²90°=
sin²1°+sin²2°+……+sin²90°=
sin²1°+sin²2°+……+sin²90°
=sin²45°+sin²90°+(sin²1°+sin²89°)+(sin²2°+sin²88°)+……+(sin²44°+sin²46°)
=44+1+(1/2)
=91/2
sin²1°+sin²2°+……+sin²90°
=(sin²1°+sin²89°)+(sin²2°+sin²88°)+··········+(sin²44°+sin²46°)+sin²45°+sin²90°
=1×44+(√2/2)²+1
=44+0.5+1
=45.5