Two waves traveling on a string in the same direction both have a frequency of $115$ Hz $,$ a wavelength of $2\mathrm{.}00$ cm $,$ and an amplitude of $0\mathrm{.}0200$ m $.$

What is the amplitude $A_1$ of the resultant wave if the original waves differ in phase by $\frac{}{6}?$

$A_1=$

cm

What is the amplitude $A_2$ of the resultant wave if the original waves differ in phase by $\frac{}{3}?$

$A_2=$