1. The alternating voltage, $V$, in an electrical circuit $t$ seconds after it is switched on is modelled by the function

$V=55\sqrt{2}(sin\frac{ \pi t}{60}+cos\frac{ \pi t}{60}).$

Express

$55\sqrt{2}(sin\frac{ \pi t}{60}+cos\frac{ \pi t}{60}).$

in the form

$Rsin(\frac{ \pi t}{60}+ \alpha )$

where $R$ and $\alpha$ are constants to be found.  $R>0$ and is acute.