Please use MATLAB The arcsin function can be defined by the power series as:80arcsin(z) =Σk=0(2k)!- 4 (k!)² (2k+1)z³2k+13z5-Z=z+ +6 40+...for z≤1a) Write a function arcsin (z, k) that takes 2 inputs: z and k. The function will outputthe corresponding value. In your script, test your recursive function with z = 0.5 and k=5[10]>> arcsin (0.5,5)ans =0.5236b) Plot arcsin (z, k) function for -π/4≤ Z ≤ +л/4 and with the first 40 terms.One the same figure, plot the actual asin function in MATLAB. Label the axes andprovide a legend for clarity.[15]

a) To write a function arcsin(z, k) that calculates the arcsin value using the given power series…

Answered: The arcsin function can be defined by…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section6.4: A Case Study: Rectangular To Polar Coordinate Conversion

Problem 6E

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