Question

化简

sin(π-α)cos(2π-α)cot(π+α)

cos(-α-π)sin(-π-α)

= ．

Answer 1

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．