Thanks in advance! 2. The infinite Maclaurin series to calculate the sine of an

Question

Thanks in advance! 2. The infinite Maclaurin series to calculate the sine of an angle in radians is: sin(x) = x -x^3/3!+x^5/5!-x^7/7!+x^9/9!-... Write a function, named sine, to calculate the sine of an angle using the above Maclaurin series. Use your fact function from problem 1 in your sine function. Iterate the terms until the difference between the previous term and the current term is less than 10^-5. Write a program that asks for an angle to be input, passes that angle to the sine function, and displays the result to five decimal places as: The sine of is . If 0.3 is entered as the angle, the result would be: The sine of 0.30000 is 0.29552.

Explanation / Answer

x=input('enter the angle (in rad)');

y=sine(x);
str=['the sine of ',num2str(x),' is ',num2str(y)];
disp(str)

function sine:

function [y]=sine(x)
err=1;
y1=x;
count=1;
while err>=1e-5
count=count+1;
y2=y1+(-1)^(count-1)*x^(2*count-1)/fact1(2*count-1);
err=abs(y2-y1);
y1=y2;
end

y=y1;
end

function [y]=fact1(x)
y=1;
for i=1:x
y=y*i;
end
end

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