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If A+B=225^@ Find cotA/(1+cotA)*cotB(1+...

If A+B=`225^@` Find cotA/(1+cotA)*cotB(1+cotB)`

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`A+B=225=> cot(A+B)=cot 225`
`(cotAcotB-1)/(cotA+cotB)=1`
`cot AcotB-1=cot A+cotB`
now,`cotA/(1+cotA)XcotA/(1+cotB)=(cotAcotB)/(1+cotA+cotB+cotAcotB)`
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