Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-The position of a weight on a spring relative to the point of equilibrium is given by $y = 4 \cos 3 t - 8 \sin 3 t$
where the arguments are in radians and $\mathrm { t }$ is in seconds. Find the smallest value of $\mathrm { t }$ for which the we at the point of equilibrium $( y = 0 )$ . Give your answer to the nearest hundredth.

A) $0.15$
B) $0.44$
C) $0.37$
D) $0.26$