Solve the Problem $\mathrm { F } = 67$ Suppose the Maximum Displacement at the Center of the It

Solve the problem.
-A guitar string is plucked so that it vibrates with a frequency of $\mathrm { F } = 67$ . Suppose the maximum displacement at the center of the string is $s ( 0 ) = 0.51$ . Find an equation of the form $s ( t ) = a$ cos bt to model this displacement. Round constants to 2 decimal places.

A) $s ( t ) = 0.51 \cos 420.97 \mathrm { t }$
B) $s ( t ) = 0.51 \cos 10.66 t$
C) $s ( t ) = 1.02 \cos 420.97 \mathrm { t }$
D) $s ( t ) = 1.02 \cos 10.66 \mathrm { t }$