3. The far field power density radiated from an antenna is given by sin cos P= K a, W/m² 0 ≤ 0 ≤ π, - VI 12 where K is a constant. Determine the following: (a) Azimuthal and elevation planes half-power beam widths. (b) Azimuthal and elevation planes first null beam widths. (c) Directivity and directive gain. 4. Repeat problem 3 for antennas having the following far field radiated power densities: (a) P K sin20 0≤0, 0 ≤≤2 sin 0 sin² (b) P K 0 ≤ 0 ≤ π, 0 ≤ ≤2T