please solve and explain whole question 2 in detail, thank you very much.

Q2. (a) An angle-modulated signal is described by xc(t) 50cos[2T (108)t 3 sin(2T (103) t] (i) Consider xe(t) is a Phase Modulation (PM) signal with the modulation index (5 marks) kp=10, find the input signal m(t) (ii) Consider xe(t) is an Frequency Modulation (FM) signal with the modulation index (5 marks) k-200, find the input signal m(t) (iii) Find the maximum phase deviation and maximum frequency deviation of xc) (6 marks) A 100 MHz FM transmitter develops an output power of 1 W into its antenna with a feeding resistance of 502. The modulator has a peak frequency deviation of 5 kHz for a 1 kHz test signal that is applied to the modulator (b) (i) (ii) (iii) Write the expression of the voltage waveform measured at the antenna. What is the power developed at 100 MHz? Estimate the transmission bandwidth by using Carson's rule. (4 marks) (3 marks) (2 marks)