A certain circuit element is know to be a pure resistance, a pure inductance, or a pure capacitance. Determine the type and value (in ohms, henrys or farads) of the element if the voltage and current for the element are given by: a. v(t) 100cos(200t+30) V, i(t) F 2.5sin (200t+30) A; b. v(t) sin V, i(t) 4cos(200t+30) A; c. v 100cos(100t+30) V, i(t) 5cos(100t+300A. The units for the phase offset are degrees).