Question

Root 1+sin2A/root 1-son2A

Answer 1

$\textbf{\huge{ANSWER}}$

Remeber the formula Sin2a  = 2SinaCosa

Sin^2a+Cos^2a = 1

Sina/Cosa = Tana

Given (1-Sin2a)/(1+Sin2a)

Left hand side identity =

=> (1-Sin2a)/(1+Sin2a)

=> (Cos^2A+Sin^2a-Sin2a)/(Cos^2A+Sin^2a+Sin2a)

=> (Cos^2A+Sin^2a-2SinaCosa)/((Cos^2A+Sin^2a+2SinaCosa)

=> (Cosa-Sina)^2/(Cosa+Sina)^2

Multiple to numarator and denominator by Cosa.

=> (1-Tana)^2/(1+Tana)^2

=> [(1-Tana)/(1+tana)]^2

=> Right hand side identity.