Answer
$\theta \left( 0\right) =2rad=114.6^{0}$
Work Step by Step
At time $t=0$, the angle will be:
$\theta \left( t\right) =2+4t^{2}+2t^{3}$
$\theta \left( 0\right) =2+4\times 0^{2}+2\times 03=2rad=\left( \dfrac {2\times 180}{\pi }\right) ^{0}\approx 114.6^{0}$
