化简sin(2π-α)cos(π+α)cos(π2+α)cos(112π-α)cos(π-α)sin(3π-α)sin(-π-α)sin(92π+α).-数学

题目简介

化简sin(2π-α)cos(π+α)cos(π2+α)cos(112π-α)cos(π-α)sin(3π-α)sin(-π-α)sin(92π+α).-数学

题目详情

化简
sin(2π-α)cos(π+α)cos(
π
2
+α)cos(
11
2
π-α)
cos(π-α)sin(3π-α)sin(-π-α)sin(
9
2
π+α)
题型:解答题难度:中档来源:不详

答案

sin(2π-α)cos(π+α)cos(class="stub"π
2
+α)cos(class="stub"11
2
π-α)
cos(π-α)sin(3π-α)sin(-π-α)sin(class="stub"9
2
π+α)
=
-sinα•(-cosα)(-sinα)(-sinα)
-cosα•sinα•sinα•cosα
=-tanα.

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