作业帮化简数学函数化简[(cos²(π/2+α)-sin²(7π/2+α))/(sinα+cosα)]-sin(7π-α)化简这道数学题,
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 18:28:46
![化简数学函数化简[(cos²(π/2+α)-sin²(7π/2+α))/(sinα+cosα)]-sin(7π-α)化简这道数学题,](/uploads/image/z/4347258-42-8.jpg?t=%E5%8C%96%E7%AE%80%E6%95%B0%E5%AD%A6%E5%87%BD%E6%95%B0%E5%8C%96%E7%AE%80%5B%28cos%26%23178%3B%28%CF%80%2F2%2B%CE%B1%29-sin%26%23178%3B%287%CF%80%2F2%2B%CE%B1%29%29%2F%28sin%CE%B1%2Bcos%CE%B1%29%5D-sin%287%CF%80-%CE%B1%29%E5%8C%96%E7%AE%80%E8%BF%99%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%2C)
化简数学函数化简[(cos²(π/2+α)-sin²(7π/2+α))/(sinα+cosα)]-sin(7π-α)化简这道数学题,
化简数学函数
化简[(cos²(π/2+α)-sin²(7π/2+α))/(sinα+cosα)]-sin(7π-α)化简这道数学题,
化简数学函数化简[(cos²(π/2+α)-sin²(7π/2+α))/(sinα+cosα)]-sin(7π-α)化简这道数学题,
原式=（sin²α-cos²α）/（sinα+cosα）-sin（π-α）
=sinα-cosα-sinα
=-cosα
[(cos²(π/2+α)-sin²(7π/2+α))/(sinα+cosα)]-sin(7π-α)
=（sin²α - cos²α)/(sinα+cosα） - sin（π-α)
=sinα - cosα - sinα
=-cosα