To simplify the given expression, we need to use the trigonometric identity1 - tan^2(x) = sec^2(x)
Therefore, we can rewrite the expression as2tg(2x)/sec^2(2x) = sqrt(3)
Using the definition of tangent and secant functions2sin(2x)/cos(2x) = sqrt(3)
Now, let's simplify the expression further2sin(2x) = sqrt(3)cos(2x)
Next, we can divide both sides by cos(2x)2tan(2x) = sqrt(3)
Therefore, the simplified expression is2tan(2x) = sqrt(3)
To simplify the given expression, we need to use the trigonometric identity
1 - tan^2(x) = sec^2(x)
Therefore, we can rewrite the expression as
2tg(2x)/sec^2(2x) = sqrt(3)
Using the definition of tangent and secant functions
2sin(2x)/cos(2x) = sqrt(3)
Now, let's simplify the expression further
2sin(2x) = sqrt(3)cos(2x)
Next, we can divide both sides by cos(2x)
2tan(2x) = sqrt(3)
Therefore, the simplified expression is
2tan(2x) = sqrt(3)