Two vectors → A and → B are defined as → A = a ^ i and → B = a(cos...

$\left|\overset{\to}{A} + \overset{\to}{B}\right| = 2acos \dfrac{\omegat}{2}$
\left|\overset{\to}{A} - \overset{\to}{B}\right| = 2asin \dfrac{\omegat}{2}$<br >So$2acos \dfrac{\omegat}{2} = \sqrt{3}\left(2asin \dfrac{\omegat}{2}\right)$<br >$tan \dfrac{\omegat}{2} = \dfrac{1}{\sqrt{3}}$<br >$\dfrac{\omegat}{2} = \dfrac{\pi}{6} ⇒ \omegat = \dfrac{\pi}{3}$<br >$\dfrac{\pi}{6}t = \dfrac{\pi}{3}$<br >$t = 2.00sec