Question

Write a computer program that takes as input a floating point number x in the interval [−π, π], and an integer n in the range 1, 2, ..., 10, and calculates sin(x) using the Taylor series definition within an accuracy of 10−n . Indicate your programming language of choice, and include a screen shot of your test cases.

Answer 1

x=input('Enter a floating no between -pi and pi : ');
n=input('Enter an integer between 1 and 10 : ');
tol=10^-n;
sin_val=0;
i=0;
error=1;
while(error>tol)
nw_sin_val=sin_val;
sin_val=sin_val+(-1)^i*x^(2*i+1)/factorial(2*i+1);
i=i+1;
error=abs(nw_sin_val-sin_val);
end
disp('The Value of sin(x) is : ')
disp(vpa(sin_val))