The instantaneous voltage across a circuit element is \(v(t)=\) \(400 \sin \left(\omega t+30^{\circ}ight)\) volts, and the instantaneous current entering the positive terminal of the circuit element is \(i(t)=100 \cos \left(\omega t+10^{\circ}ight) \mathrm{A}\). For both the current and voltage, determine

(a) the maximum value,

(b) the rms value, and

(c) the phasor expression, using \(\cos (\omega t)\) as the reference.