Complex impedance and phase angle

Question

Assignment:

Refer to diagram above

Question 1. Derive an expression for the complex impedance between terminals A&B referring  to the reactances as X_c & X_L. Express the answer in the form of (real part + j * imaginary part)

Question 2. Calculate the phase angle of the current I relative to the voltage Vin for a source frequency of 3kHz(must be done using the simplest form possiable for calculation).

Question 3. Describe two ways in which the circuit could be changed to make it resonate at a frequency of 3kHz. State exactly how you would make any necessary calculations (do not attempt to do these calculations).

Provide complete and step by step solution for the question and show calculations and use formulas.