问题 解答题 化简:sin(π-α)sin(3π-α)+sin(-α-π)sin(α-2π)sin(4π-α)sin(5π+α). 答案 sin(π-α)sin(3π-α)+sin(-α-π)sin(α-2π)sin(4π-α)sin(5π+α)=sinα•sinα+sinα•sinα-sinα•(-sinα)=2.