MATLAB: I need to write for loop: s=sin(pi/1)+cos(pi/2)+sin(pi/3)+….cos(pi/100)

for loop

s=sin(pi/1)+cos(pi/2)+sin(pi/3)+….cos(pi/100)

I did this, but this is not working:

a= 0, b=0; for x=1:2:100 a=a+(sin(pi/x)); for y=2:2:100 b=b+(cos(pi/y)); end end

Best Answer

s=0;
for k=1:50
s=s+sin(pi/(2*k-1))+cos(pi/(2*k));
end

Best wishes

Torsten.

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MATLAB: Nested loops to estimate cos(pi/4)

You should avoid calling your variable true, as that already has a meaning in MATLAB.
This line of code "for ea >= es" is not valid MATLAB syntax.
Your while loop is an infinite loop; you have not specified a way to break out of it.

Most of your line of code "est = 1+x^(k*2)/factorial(k*2)*(-1)^k" matches the term in the series definition of the cosine function, but the "1+" part doesn't.

Basically you want your code to look something like this pseudocode:

 1) initialize variables
 2) while (the approximation is not close enough to the known value)
 2a) add another term to your approximation

There's a while loop in step 2, but the condition is not 1. There is no for loop in the pseudocode. I can't say much more without simply giving you the code.

In general, if you're still unsure about how while loops work, I think one way you can understand them better is to walk through the first example (calculating factorial(10)) on its documentation page yourself, with you playing the role of MATLAB. Take a piece of paper and a pencil and "execute" each line yourself, recording the values of variables as they change on that paper. [When you reach the end statement, return to the while statement. If the while condition is not satisfied, go to the statement immediately after the end.]

MATLAB: How to plot y = cos(pi/4)

Choose upper and lower limits of x as a and b. Choose the desired number of plot points as n.

x = linspace(a,b,n);
y = repmat(cos(pi/4),1,n);
plot(x,y,’y-‘)

Best Answer

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MATLAB: Nested loops to estimate cos(pi/4)

MATLAB: How to plot y = cos(pi/4)

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