`1/(2^2)tan(pi/(2^2))+1/(2^3)tan(pi/(2^3))+....` to `oo`

(1-tan^2(pi/4))/(1+tan^2(pi/4))=?

tan^(-1)(tan(2 pi/(3)))

Lim_(x rarr oo) 2^(x-1)(sin (pi/(2^(x)))+tan(pi/(2^(x)))) is equal to

lim_ (n rarr oo) (1) / (n) [tan ((pi) / (4n)) + tan ((2 pi) / (4n)) + ... tan ((n pi) / (4n) )]

The value of lim_(n rarr oo)[tan((pi)/(2n))tan((2 pi)/(2n))......tan((n pi)/(2n))]^((1)/(n))

Consider the following : 1. tan((pi)/(6)) 2. tan((3pi)/(4)) 3. tan((5pi)/(4)) tan((2pi)/(3)) What is the correct order ?

tan(2tan^(-1)((1)/(3))-(pi)/(4))

if tan ((pi)/(4)+(y)/(2))=tan^(3)((pi)/(4)+(x)/(2)) then (3+sin^(2)x)/(1+3sin^(2)x)=