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若sin(135+α)=5/13,则sin(135°-a)=

题目详情
若sin(135+α)=5/13,则sin(135°-a)=
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答案和解析
因为:sin(135°+a)=5/13
所以:cos(135°+a)=±12/13
sin(135°-a)
=sin[270°-(135°+a)]
=sin270°cos(135°+a)-cos270°sin(135°+a)
=-cos(135°+a)
=±12/13