=cot(120+22.5)
we know cot 120=-1/√3
and let tan22.5=x
then tan45=2x/1-x2
so we get tan22.5=
√2-1
cot22.5=1/(√2-1)=√2+1
just put the formula
cot(A+B)=(cotAcotB-1)/(cotA+cotB)
=cot(120+22.5)
we know cot 120=-1/√3
and let tan22.5=x
then tan45=2x/1-x2
so we get tan22.5=
√2-1
cot22.5=1/(√2-1)=√2+1
just put the formula
cot(A+B)=(cotAcotB-1)/(cotA+cotB)