Please help out! Much appreciated.

(5%) Problem 22: An AC current source is connected to an inductor with an inductance _ = 2 H. At time t = 0, the current through the inductor is in = 0 A. The power supply provides a time-dependent current i through the inductor as described by the following equation: i(t) = 10.cos(t), where w = 500 rad/s. The current is measured in units of Amps. *33% Part (a) Determine the current through the inductor, in amperes, at time t = 2.5 sec. Grade Summary i = 21 Deductions 0% Potential 100% sin() cos() tan() 8 9 HOME Submissions cotan() asin() acos() 6 Attempts remaining: 34 atan() acotan() sinh( 3 (0% per attempt) detailed view cosh() tanh() cotanh() + END 0% Degrees O Radians VC BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. Submission History All Date times are displayed in Pacific Standard Time. Red submission date times indicate late work. Date Time Answer Hints Feedback 1 Jun 14, 2022 3:06 PM i = 2 4 33% Part (b) Determine the voltage across the inductor, in volts, at time t = 2.5 sec. 4 33% Part (c) Determine the magnitude of the maximum voltage, in volts, across the inductor