sin²1°+sin²2°+……+sin²90°=
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 15:56:30
![sin²1°+sin²2°+……+sin²90°=](/uploads/image/z/2509942-22-2.jpg?t=sin%26%23178%3B1%C2%B0%2Bsin%26%23178%3B2%C2%B0%2B%E2%80%A6%E2%80%A6%2Bsin%26%23178%3B90%C2%B0%3D)
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