$(25$ points$)$ Given the two sinusoids below, determine the following:

$v(t)=-8sin(600t+60)$

$i(t)=-4cos(600t-80)[A]$

a$.$ The amplitude of $v(t)$ in volts $($do not forget to write units$).$

b$.$ The frequency in Hz $.$

c$.$ The radian frequency in $ra\frac{d}{s}.$

d$.$ The phase shift of $v(t)$ in degrees.

e$.$ The peak$-$to$-$peak value of $i(t)$ in amperes $($do not forget to write units$).$

f$.$ The phasors V and I $($do not forget units$).$

g$.$ Determine the phase relationship between $v(t)$ and $i(t),$ meaning which waveform leads the other and by how much.

h$.$ If $v(t)$ is the voltage across a load and $i(t)$ is the current through it$,$ what is the load impedance? Is the load more capacitive or inductive based on the phase relationship?

$-8sin(600t+60)$

$-8cos600t+60-90=-30$

$44cos600t+1000$

$8cos600t-30+180=150$

$8cos(600t+150)$

$($a$)8$ V

$($b$)300H{z}_2$

$($C$)$ GouTrad$/$s

$4$

$($b$)$

$($e$)84$

$$1500$

$($E$)$

$V(t)$

$=\frac{V}{\text{I}}$

$($t$)$ lands i$($t$)$