3. Given the Taylor series expansion for sin x = x - x3 / 3! + x5/5! - x7/7!. Write a program that takes in an arbitrary integer for an angle in degrees, converted the degrees to radians and performs the calculation above. Remember you will need a loop to calculate the! term and float variables to hold the term (s) in the expansion and the converted degrees to radian.

clc

clear

x = input ('type value of angle in degrees:/n');

x = x*pi/180; %convverting fron degree to radian

sin_x = x; %as first term of taylor series is x

E = 1; %just giving a value of error greater than desired error

n = 0;

while E > 0.000001

previous = sin_x;

n = n+1;

sin_x = sin_x + ((-1) ^n) * (x^ (2*n+1)) / factorial (2*n+1);

E = abs (sin_x - previous); %calculating error

end

a = sprintf ('sin (x) = %1.6f', sin_x);

disp (a)