Question $3-$ Matplotlib $(24$ Pts$)$

Implement the following tasks by using Matplotlib library.

$[$Task$-3\mathrm{.}1](12$ Pts$)$ Plot sine$,$ cosine, tangent, and cotangent functions as $2-$by$-2$ subplots inside one figure. For all functions, set the range of $x-$axis between $0$ and $360.$ For the sine and cosine, set the range of $y-$axis between $-1$ and $1.$ For the tangent and cotangent, adjust the range of $y-$axis to avoid extreme values. Split the grids into $8$ equal portions in $x$ and $y$ axis. Set different colors for each function graph. Draw tangent and cotangent graphs with dashed lines. Add a legend to the upper right corner of each subplot. Add title to each subplot.

$[$Task$-3\mathrm{.}2](12$ Pts$)$ Load the csv file "california$\_$cities.csv$"$ into a DataFrame. Extract data of "latd", "longd", "area$\_$total$\_$km$2",$ and "area$\_$water$\_$percent". You are expected to draw a scatter plot. Set x$-$axis as latitude and set $y-$axis as longitude. Set the size of the points to represent the total area of cities. Add a legend to the upper right corner of the figure and show sizes of points for $10,25,50,100,$ and $250km2.$ Set the colors of the points to represent the percentage of water in the area. Add a color bar next to the figure. Set the label and title names.

$3$

Figure $2$: Expected result of Task$-3\mathrm{.}2$