化简:sin(π-α)sin(3π-α)+sin(-α-π)sin(α-2π)sin(4π-α)sin(5π+α).-数学

题目简介

化简:sin(π-α)sin(3π-α)+sin(-α-π)sin(α-2π)sin(4π-α)sin(5π+α).-数学

题目详情

化简:
sin(π-α)sin(3π-α)+sin(-α-π)sin(α-2π)
sin(4π-α)sin(5π+α)
题型:解答题难度:中档来源:不详

答案

sin(π-α)sin(3π-α)+sin(-α-π)sin(α-2π)
sin(4π-α)sin(5π+α)

=class="stub"sinα•sinα+sinα•sinα
-sinα•(-sinα)

=2.

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