An angle$-$modulated signal with a carrier frequency $\backslash$omega $\_($c$)=2\backslash$pi $\backslash$times $10^(5)$ra$($d$)/($s$)$ is described by the

equation

y$($t$)=10$cos$(\backslash$omega $\_($c$)$t$+5$sin$5000\backslash$pi t$)$

$($a$)$ If this is an FM signal, what is the message signal given k$\_($f$)=120\backslash$pi $?$

$($b$)$ What is the average power of the angle$-$modulated signal?

$($c$)$ Find the modulation index $\backslash$beta $,$ and explain if this is NBFM or WBFM$.$

$($d$)$ Find the transmission bandwidth in Hz $.$

can you sketch when asked