证明:tanx+cotx=2sinxcosx+sin三次方xsecx+cos三次方xcscx

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证明:tanx+cotx=2sinxcosx+sin三次方xsecx+cos三次方xcscx
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证明:tanx+cotx=2sinxcosx+sin三次方xsecx+cos三次方xcscx
证明:tanx+cotx=2sinxcosx+sin三次方xsecx+cos三次方xcscx

证明:tanx+cotx=2sinxcosx+sin三次方xsecx+cos三次方xcscx
tanx+cotx
=sinx/cosx+cosx/sinx
=(sin²x+cos²x)/sinxcosx
=1/sinxcosx
=(sin²x+cos²x)²/sinxcosx
=(sin^4 x+2sin²xcos²x+cos^4 x)/sinxcosx
=sin³xsecx+2sinxcosx+cos³xcscx