In optics, integrands containing sin() arise in Fresnel integrals. Use Taylors inequality to determine for what small angles is the replacement of sin () with its 3rd degree Taylor polynomial* centered at = 0 radians (Maclaurin polynomial) accurate to within an error bound of = 0.05?

9. (4 Points) In optics, integrands containing sin() arise in Fresnel integrals. Use Taylor's inequality to determine for what small angles is the replacement of sin (0) with its 3rd degree Taylor polynomial* centered at 0 = 0 radians (Maclaurin polynomial) accurate to within an error bound of = 0.05