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The arcsin function can be defined by the power series as: 80 arcsin(z) =Σ k=0 (2k)! - 4 (k!)² (2k+1) z³ 2k+1 3z5 -Z =z+ + 6 40 +... for z≤1 a) Write a function arcsin (z, k) that takes 2 inputs: z and k. The function will output the corresponding value. In your script, test your recursive function with z = 0.5 and k =5 [10] >> arcsin (0.5,5) ans = 0.5236 b) 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 and provide a legend for clarity. [15]

The arcsin function can be defined by the power series as: 80 arcsin(z) =Σ k=0 (2k)! - 4 (k!)² (2k+1) z³ 2k+1 3z5 -Z =z+ + 6 40 +... for z≤1 a) Write a function arcsin (z, k) that takes 2 inputs: z and k. The function will output the corresponding value. In your script, test your recursive function with z = 0.5 and k =5 [10] >> arcsin (0.5,5) ans = 0.5236 b) 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 and provide a legend for clarity. [15]

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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The arcsin function can be defined by the power series as: 80 arcsin(z) =Σ k=0 (2k)! - 4 (k!)² (2k+1) z³ 2k+1 3z5 -Z =z+ + 6 40 +... for z≤1 a) Write a function arcsin (z, k) that takes 2 inputs: z and k. The function will output the corresponding value. In your script, test your recursive function with z = 0.5 and k =5 [10] >> arcsin (0.5,5) ans = 0.5236 b) 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 and provide a legend for clarity. [15]
Transcribed Image Text:The arcsin function can be defined by the power series as: 80 arcsin(z) =Σ k=0 (2k)! - 4 (k!)² (2k+1) z³ 2k+1 3z5 -Z =z+ + 6 40 +... for z≤1 a) Write a function arcsin (z, k) that takes 2 inputs: z and k. The function will output the corresponding value. In your script, test your recursive function with z = 0.5 and k =5 [10] >> arcsin (0.5,5) ans = 0.5236 b) 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 and provide a legend for clarity. [15]
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