Problem 4 Many applications use the following "small angle" approximation for the sine to obtain a simpler model that is easy to understand and analyze. This approximate states that sin(x) , where a must be in radians. Investigate the accuracy of this approximation by creating three plots. For the first, plot sin(x) versus x for 0 1.For the second plot the approximation error sin(x)- versus x for 0s For the third plot the relative error lsin(x)- /sin(x) versus x for 0 x 1. How small must x be for the approximation to be accurate within 5 percent? Use the relative error for this calculation.(for example the relative error for v is