问题 填空题 化简sin(π-α)cos(2π-α)cot(π+α)cos(-α-π)sin(-π-α)= . 答案 由诱导公式可知,sin(π-α)cos(2π-α)cot(π+α)cos(-α-π)sin(-π-α)=-cotα,故答案为:-cotα.