sin(x) using the infinite series

[kathyla18]

I have to create a program that reads in a value for x in degrees and then calculates sine of x using the sine intrinsic function. Then calculates the sine of x using the infinite series equation.

I know how to write the code to calculate the sine using the intrinsic funtion, but im stuck at how to create the code for the infinite series.

Any help will be appreciated. Thanks

 

[mikrom]

The formula for calculating sin(x) using Taylor series can be found here:

http://en.wikipedia.org/wiki/Taylor_series

So you need to create a function with 2 arguments (x - real and n - integer) which calculates the sum of series in a loop.
The accuracy of the result is depending on n.
Here is the pseudocode (Ruby)

def taylor_sin(x, n)
  sum = 0
  for k in (0..n)
    sum = sum + (-1)**k * x**(2*k+1)/fact(2*k+1)
  end
  return sum
end

The Fortran implementation would be very similar.

 

[GerritGroot]

This is homework for sure