Prove that Cot 180/8 + tan 180/8 =2

All the steps should be written.

= cot 22.5 +tan22.5

= cot 45/2 + tan45/2 half angle Identity

cot 45/2 = √2 -1 , tan 45/2 = √2 +1

=2√2

Cot 180/8 +tan 180/8= C0t(22.5)+tan(22.5)=(rot2+1)+(root2-1)=2…

Cot 180/8 + tan 180/8 in fact does not = 2
Cot 180/8 + tan 180/8 = 2*sqrt(2)

Do it yourself.