Please answer all parts with step by step solutions

E er 'I' L BIQXZX'EE Please answer all parts Let g(x)=rt + 0.5 cos x/2. a) Using the theorem from the course, show that g(x) has a unique fixed point on the interval [0, 2r: ]. b) For p0 =rt/2, compute p1 . Is the fixed point iteration convergent? Justify your answer. 0) How many iterations are necessary to achieve the accuracy 10'2 if fixed point iteration is used to approximate the fixed point