Shown in the Figure Is the Lissajous Figure Given By x

Multiple Choice

Shown in the figure is the Lissajous figure given by $x = 4 \sin 3 t , y = 4 \sin 1.5 t ; t \geq 0$ Find the period of the figure - that is, the length of the smallest t-interval that traces the curve.

A) $\frac { 4 \pi } { 3 }$
B) $$\frac { \pi } { 3 }$$
C) π
D) $2 \pi$
E) $\frac { 3 \pi } { 4 }$