高一数学化简sin(-1071°)*sin99°+sin(-171°)*sin(-261°)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/24 22:42:08
高一数学化简sin(-1071°)*sin99°+sin(-171°)*sin(-261°)
![高一数学化简sin(-1071°)*sin99°+sin(-171°)*sin(-261°)](/uploads/image/z/15575754-66-4.jpg?t=%E9%AB%98%E4%B8%80%E6%95%B0%E5%AD%A6%E5%8C%96%E7%AE%80sin%EF%BC%88-1071%C2%B0%EF%BC%89%2Asin99%C2%B0%2Bsin%EF%BC%88-171%C2%B0%EF%BC%89%2Asin%EF%BC%88-261%C2%B0%EF%BC%89)
sin(-1071°)sin99°+sin(-171°)sin(-261°)
=sin(-1071°+3×360°)sin(90°+9°)+sin(-180°+9°)sin(-360°+99°)
=sin9°cos9°-sin(180°-9°)sin(90°+9°)
=1-sin9°cos9°
=1-1
=0
=sin(-1071°+3×360°)sin(90°+9°)+sin(-180°+9°)sin(-360°+99°)
=sin9°cos9°-sin(180°-9°)sin(90°+9°)
=1-sin9°cos9°
=1-1
=0
sin(-1071度)×sin99度+sin(-171度)sin(-261度)化简
化简(1)sin(-1071度).sin99度+sin(-171度).sin(-261度)
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