The question is here http://i.i​mgur.com/E​kSTC0x.png​?1

I need help to create this program, and I have to prepare this program for tomorrow, can't someone help me?

[sixwwwwww]

Have you tried solving it by yourself? Please share your code where you have problems

[Leonardo Concepcion]

the output doesn't give us the value and I know I have some mistakes. I only need the program to display the value of sin(x)

[Leonardo Concepcion]

[Leonardo Concepcion]

http://i.imgur.com/EkSTC0x.png?1

Answer 1

[sixwwwwww]

Dear Leonardo, here is the code for this problem:

x_deg = input('Input angle in degrees: ');
x = degtorad(x_deg);
sumTerms = 0;
n = 0;
E = Inf;
while E > 1e-6
    a = ((-1)^n * x^(2 * n + 1)) / factorial(2 * n + 1);
    prevSum = sumTerms;
    sumTerms = sumTerms + a;
    if n ~= 0
        E = abs((sumTerms - prevSum) / prevSum);
    end
    n = n + 1;
end
fprintf('Value of sin(%0.1f) is: %0.5f\n', x_deg, sumTerms)

I hope it helps. Good luck!

[Leonardo Concepcion]

Thanks a lot. It really helped and the program worked. I will be forever greatfull. Thanks again.

[Image Analyst]

I'd print it out like this:

fprintf('The value of the Taylor series after %d terms is %.7f.\nThe true value of sind(%0.1f) is: %0.7f\n', n, sumTerms, x_deg, sind(x_deg))

[Leonardo Concepcion]

print it like that is better?, Excuse me, but I am new in Matlab and I am starting to learn about it. And le-6 is the same E>=0.000001?

[Image Analyst]

I think it's a better printout, because it's more explicit. It gives you more decimal places and lets you see how close the series is to the actual value, and lets you know how many terms it took to get that close. Don't you think that would be interesting information to know? I would.

Also note that I used sind() - there are versions of the trig functions that end in d that take inputs in degrees instead of variables.

And 1e-6 is 0.000001, but not E>0.000001, which is a boolean expression taking on the value of true or false.

[Leonardo Concepcion]

Yes is better that way!!, thanks for your help :)

[Leonardo Concepcion]

And the rest of the script is ok?