化简sin(2π-α)cos(π+α)cos(π-α)sin(3π-α)sin(-α-π)=______.-数学

题目简介

化简sin(2π-α)cos(π+α)cos(π-α)sin(3π-α)sin(-α-π)=______.-数学

题目详情

化简
sin(2π-α)cos(π+α)
cos(π-α)sin(3π-α)sin(-α-π)
=______.
题型:填空题难度:偏易来源:不详

答案

sin(2π-α)cos(π+α)
cos(π-α)sin(3π-α)sin(-α-π)
=
-sinα•(-cosα)
-cosα•sinα•sinα
=-class="stub"1
sinα

故答案为-class="stub"1
sinα

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