Use Taylor Series to solve this problem. Calculating pi using Taylor's theorem.

Calculate the value of 7 upto ten decimal points using the fact that r = 4 * tan-|(1). Use the fact that d 1 tan-() dr 1+12 along with the technique in example on page 14 of the text book. First derive the series for tan(1). Next estimate theoretically and practically how many iterations are required. Use the equation 7/4 = tan-?(1/2)+tan-(1/3) to evaluate the value of 7. How many iterations does this require? Comment on the difference. Submit matlab code. Calculate the value of 7 upto ten decimal points using the fact that r = 4 * tan-|(1). Use the fact that d 1 tan-() dr 1+12 along with the technique in example on page 14 of the text book. First derive the series for tan(1). Next estimate theoretically and practically how many iterations are required. Use the equation 7/4 = tan-?(1/2)+tan-(1/3) to evaluate the value of 7. How many iterations does this require? Comment on the difference. Submit matlab code