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

$R$sin $(\frac{ \pi t}{60}+ \alpha )$

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