Check that 1 tan(x/2) = 1 + tan a 1 and sin(x/2)= sin x 1+ tan...

  

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Check that 1 tan(x/2) = 1 + tan a 1 and sin²(x/2)= sin x 1+ tan (1/2) holds for any x€ (-π/2,π/2)\{0}. Use these relations to write a program in Python computing the fifth first decimal of T 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)n and (tn)n Check that 1 tan(x/2) = 1 + tan a 1 and sin²(x/2)= sin x 1+ tan (1/2) holds for any x€ (-π/2,π/2)\{0}. Use these relations to write a program in Python computing the fifth first decimal of T 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)n and (tn)n