Problem $09\mathrm{.}030-$ Find current when a resistor and capacitor are in parallel

A voltage v$($t$)=100$ cos$(60$t $+20)$V is applied to a parallel combination of a $26-$k$$ resistor and a $46-$ F capacitor. Find the steady$-$state currents through the resistor and the capacitor.

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The steady$-$state currents through the resistor and the capacitor are iR $=$ cos$(60$t $+20)$ mA and iC $=$ sin$(60$t $+20)$ mA$.$