Question

1) Write a script that plots sin(x), cos(x), tan(x) for x between 0 and 360◦ (or 2π radians) on one graph, adjusts the y axis to range between −10 and +10, and includes a legend identifying each line.

2)Write a Matlab function that sums up a specified number of odd-power terms from the Maclaurin series of sin(x) For example, if you use the function you wrote to sum the first 10 terms for x = 1, you should get 1 − 1/3! + 1/5! − 1/7! + 1/9! − . . . − 1/19! = 0.8414709848078965

3)Explain what is displayed when you type the following Matlab commands in sequence: x = 0:2:9; y = [-1 5 7 8 4 3]; sum(x) * y(3)

Answer 1

Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

1)

clc;
close all
clear all
x=0:0.01:2*pi;
y1=sin(x);
y2=cos(x);
y3=tan(x);
plot(x,y1,'r',x,y2,'b',x,y3,'g');
ylim([-10 10]);
xlim([0,2*pi])
legend('sin(x)','cos(x)','tan(x)');

2)

clc;
close all
clear all
sum=0;
x=input('Enter x: ');
n=input('Enter number of terms: ');
count=1;
term=x;
for i=1:n
sum=sum+term;
term=-term*x*x/((count+1)*(count+2));
count=count+2;
end
disp(sum)

3)

x=0:2:9 will create a vector x with elements 0,2,4,6,8

y is a row vector

sum(x)=0+2+4+6+8=20

y(3)=7

So, sum(x)*y(3)=140

Kindly revert for any queries

Thanks.