Solve the Problem $\mathrm { I } = 16 \sin 88 \pi \mathrm { t }$

Multiple Choice

Solve the problem.
-A generator produces an alternating current according to the equation $\mathrm { I } = 16 \sin 88 \pi \mathrm { t }$ , where $t$ is time in seconds and $\mathrm { I }$ is the current in amperes. What is the smallest time $\mathrm { t }$ such that $\mathrm { I } = 8$ ?

A) $\frac { 1 } { 528 } \mathrm { sec }$
B) $\frac { 1 } { 352 } \mathrm { sec }$
C) $\frac { 1 } { 176 } \mathrm { sec }$
D) $\frac { 1 } { 264 } \mathrm { sec }$