Question

Write a MATLAB script, which asks the user to input the angle xd (in deg) and then approximates sine of the angle using the first 5 terms of Taylor series as follows: n+12n-1 sin n-1 (2n-1)! 1 Note that x in Taylor's equation is in radian, so make sure to do the conversion first Start with defining the vector n=1:5 and then use element-wise operation and basic MATLAB commands to calculate the summation. To calculate the factorial of any number, you may use factorial function in MATLAB. Check your code for input xd-38 and compare the result to sind(38) Use fprintf to report the results on the screen

Answer 1

Code:

clc
deg = input('Enter the angle(in deg):');
y = 0;
x = deg*pi/180;
for i=1:5
y= y+((-1)^(i+1))*(x)^((2*i)-1)/factorial((2*i)-1);
end
z = sind(deg);
% printing the y and z value for comparison
fprintf('Value using code=%f \n Value using sind() function=%f\n',y,z);

Output:

Enter the angle(in deg):38
Value using code=0.615661
Value using sind() function=0.615661

$1-clc 2deg -input (Enter the angle (in deg) : ) 3- y=0; 4- x=deg *pi/180; 5- for i=1:5 6y- y+((-1) (1+1))(x) ((2*i)-1)/factorial((2*1)-1) 7-end 8- z = sind (deg); % printing the y and z value for comparison fprintf(Value 10- using code=% f \n value using sind) function fin,y,z:$