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已知tan(π-a)=2,求cos(2a+π/2)求详解,谢!
人气:209 ℃ 时间:2020-05-20 11:35:13
解答
tan(π-a)=2,tana=-2
cos(2a+π/2)
=-sin(2a)
=-2sinacosa
=-2sinacosa/(sin²a+cos²a)
同时除以cos²a得
=-2tana/(tan²a+1)
=4/(4+1)
=4/5
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