Question 3. Check that 1 1 and sin(x/2) = 1 + tan(2/2) tng 'sin x 2) holds for any re(-7/2, 7/2)\{0}. Use these relations to write a program in Python computing the fifth first decimal of with the number of necessary iterations. In the XVIIth century, the Dutch mathematician Christian Huygens proposed a method to accelerate the convergence of the sequences (Sn) and (tn)