化简sin(2π-α)*tan(π+α)*cot(-α-π)/cos(π-α)*tan(3π-α)(急)cot(-α-π)这部希望能说明下

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化简sin(2π-α)*tan(π+α)*cot(-α-π)/cos(π-α)*tan(3π-α)(急)cot(-α-π)这部希望能说明下
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化简sin(2π-α)*tan(π+α)*cot(-α-π)/cos(π-α)*tan(3π-α)(急)cot(-α-π)这部希望能说明下
化简sin(2π-α)*tan(π+α)*cot(-α-π)/cos(π-α)*tan(3π-α)(急)
cot(-α-π)这部希望能说明下

化简sin(2π-α)*tan(π+α)*cot(-α-π)/cos(π-α)*tan(3π-α)(急)cot(-α-π)这部希望能说明下
sin(2π-α)=sin(-α)=-sinα
tan(π+α)=tanα
cot(-α-π)=-cot(α+π)=-cotα
cos(π-α)=-cosα
tan(3π-α)=tan(-α)=-tanα
所以原式=sinαtanαcotα/cosαtanα
=sinα/(cosα*sinα/cosα)
=sinα/sinα
=1

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