化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/22 00:29:07
![化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)](/uploads/image/z/657590-14-0.jpg?t=%E5%8C%96%E7%AE%80sin%26%23178%3B%28%CF%80%2B%CE%B1%29sin%283%CF%80%2F2%2B%CE%B1%29tan%28%CF%80%2F2-%CE%B1%29%2Ftan%28%CF%80-%CE%B1%29cos%26%23178%3B%28-%CE%B1-%CF%80%29)
化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
=-sin²αcosαcotα/[-tanαcos²α]
=sinαcos²α/[sinαcosα]
=cosα