I doubt very much if 100cos200t is an angle. It looks like an applied alternating voltage, with 200t as the "phase angle" .
Recheck the wording of the question.
a circuit consist of an inductance of 0.05H, a resistance of 20ohms , a capacitor of 100uF and an angle of 100cos200t. find (i) and (q) given that q=0,and i=0 at t=0.
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