MATLAB HELP to write a function.

Hello, I have this problem as a practice question for a class. I am new to MATLAB, and I have no idea how to even start, can someone please help me? thanks

The Maclaurin series expansion for cos(x) is: cosx = 1 - x^2/2! + x^4/4! - x^6/6! + ...... Starting with the simplest version, cosx = 1, add terms one at a time to estimate cos(pi/4). After each new term is added, compute the true and approximate percent relative errors. Add terms until the absolute value of the approximate error estimate falls below and error criterion conforming to two significant figures.

Answer 1

[Image Analyst]

Maybe try a for loop

theSum = 1;
for k = 2 : 2 : 1000
  theSum = theSum - (-1)^k * ........  % See if you can complete the lines.
  theError = theSum - cos(...........
  if theError < .............
       % some code......
  end
end

Answer 2

[Rick Rosson]

Here's a start:

   x = pi/4;
   ideal = cos(x);

   approx = 1;
   k = 0;

   while ( abs(approx - ideal) > ... )
       k = k + 2;
       approx = approx + ...
       ...
       ...
   end