Please solve it in python coding. QUESTION $1$: a$)[25$ pts$)$ The mathematical equation that describes a sinusoidal wave as a function of time $(1)$ is given below, where A is the amplitude of the sine wave, Sn is the frequency in Hz$,$ is the phase shift of the sine wave in radians: y $=2$sin$(21-6)$ If $ $=35\text{'},$ and A $=5,$ plot the above sinusoidal function for $0<1<4,$ with different frequencies: fi $=0\mathrm{.}5$Hz$,$ f$2=1$Hz$,$ and f$3=2$Hz$.$ Plot the three functions on the same graph with "red dotted line" represents the function with $0\mathrm{.}5$Hz$,$ "blue solid line" represents the function with $1$Hz$,$ and green dashed line" represents the function with $2$Hz$.$ Use a time step of $0\mathrm{.}001.$ Label all the axes, include gridlines and provide a legend in your plot b$)[25$ pts$)$ A linear combination of sinusoidal waveforms is given below: v$,($t$)=$ A$,$ sin$(2\mathrm{.}781-)+$ A$,$ cos$(2\mathrm{.}041-)$ a Plot v$.($t$)$ for $0<121,$ with Aj $=10,$ A$2=-5,$ fi $=1$Hz$,12=2$Hz$,$ $i $=40,01=60.$ Use a time step of $0\mathrm{.}001.$ Label all the axes and includes gridlines in your plot.