The following "small angle" approximation for the sine is used in many engineering applications to obtain a simpler model that is easier to understand and analyze. This approximation states that sin x ( x, where x must be in radians. Investigate the accuracy of this approximation by creating three plots. For the first plot, plot sin x and x versus x for 0 < x < 1 for the second plot, plot the approximation error sin(x) - x versus x for 0 < x < 1. For the third plot, plot the percent error [sin(x) - x\/s (x) versus x for 0 < x < 1. How small must x be for the approximation to be accurate within 5%?