1. The sine function can be evaluated by its Taylor's series: sinx=x3!x3+5!x5 where x is in radians. Write a user-defined function that determines sinx using Taylor's series expansion. For function name and arguments, use y= sinTaylor (x), where the input argument x is the angle in degrees and the output argument y is the value for sinx. Inside the user-defined function, use a loop for adding the terms of Taylor's series. If an is the nth term in the series, then the sum Sn of the n terms is Sn=Sn1+an. In each loop, calculate: - the absolute true error ea=sin(x)f(x) - the relative true error er=sin(x)ea - the relative approximate error e=f(xcurrent)f(xcurrent)f(xprevious) where f(x) is your approximation of the sine function. For the true value of sinx, use MATLAB embedded function sin. Stop adding terms when e106. Use sinTaylor for calculating sin25 and sin195. Discuss the observation in your submission