To determine the period and rotation of the Sun, suppose you tracked a sunspot moving across the Sun's surface and measured its longitude and latitude over a period of 11 days. Then you plotted the longitude data. They form a straight line. You calculated the slope of the straight line and reached a result of 12.7 degrees per day. a) (3 pts) Determine the synodic period of the sunspot. (You must show work and include unit in order to receive full credits.) b) (3 pts) Determine the sidereal period of the sunspot. (You must show work and include unit in order to receive full credits.) c) (2 pts) How might the values of latitude of this sunspot change? d) (2 pts) How might the values of longitude of this sunspot change?