Answered: Using the MATLAB Programming to solve…

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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Question

Using the MATLAB Programming to solve the step 2 in this problem.

This is the code for step 1:

Sinx :

function sinx = mysin(x,n)
sinx=x;
for i=1:n
addterm = ((-1)^i)*(x^(2*i+1))/factorial(2*i+1); %taylor expansion
sinx = sinx + addterm;
end
end
Cosx:

function cosx = mycos(x,n)
cosx=1;
for i=1:n
addterm = ((-1)^i)*(x^(2*i))/factorial(2*i);
cosx = cosx + addterm;
end
end

tanx:

function plotterTan(~,n)
count = 0;
figure(1)
while count < 3
xval = 1
for deg = 0:0.1:pi/2
sinx = mysin(deg,n);
cosx = mycos(deg,n);
tanx = sinx/cosx;
plot(deg,tanx,'o');
xlabel('degrees(radians)')
ylabel('tanx')
hold all
pause(0.1);
xval = xval +1;
end
count = count +1;
end
hold off
end

x3 x5
Step 1: Given the following Taylor series expansions for cosine and sine, create a program
(using for loop) to determine tan(x) , where x is value from 0<x<pi/2
n
(-1)*x2k
(2k)!
x² x*
cos x = 1
2!
4!
k=0
(-1)kx2k+1
(2k + 1)!
sin x = x
3!
5!
k=0
Step 2: Using a while-loop to plot the path of each point from 0 to pi/2 and pi/2 to 0,
Where x is the value of degrees, and the y values equals tan(x), with a stop time of 0.1
second (use the pause(0.1) function) between each point. Repeat this process until the
plot of the circulates back and forth at least 3 times.
Step 3: Convert this entire program into a function that takes at least two inputs .
II
+
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