Determine the fundamental frequency fundamental radian

Question

1. Determine the fundamental frequency, fundamental radian frequency, and period of the following: (a) 5 sin 9t: (5) 200 cos 70t, (c) 4 sin (4t- 10°); (or) 4sin (4t + 10⁰).

2. Calculate a₀ for the following: (a) 4 sin 4t (b) 4 cos 4t, (c) 4 + cos 4t (or) 4cos (4t+ 40^o).

3. State whether the following exhibit odd symmetry, even symmetry, and/or half-wave symmetry:

(a) 4sin 100t (b) 4cos 100t, (c) 4cos (4t+ 70°); d)4 cos 100t+ 4.

4. For the circuit of Fig 1a, calculate u(t) if is(t) is given by Fig 1b and u(0).

Figure 1

5. For the periodic waveform shown in Fig 2, determine (a) the period T; (b) c₀, c±1 c±2, and c±3.

Figure 2