Half angle of tangent given an angle in radians

The video tutorial explains the tangent formula, focusing on the preference for using 1 minus cosine of Theta divided by sine of Theta. It demonstrates how to calculate Theta by multiplying by two and evaluates the expression using trigonometric identities, simplifying the result by multiplying by two to eliminate the denominator.

What operation does the speaker suggest to simplify the expression involving the denominator?

What is the final expression left after simplifying 2 - sqrt 3?