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

$V=115$ sin $\omega t+115\sqrt{3}$cos $\omega t$

Express

$115$sin $\omega t+115\sqrt{3}$cos $\omega t$

in the form

$R$sin $( \omega t+ \alpha )$

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