Answer:
The two different cycles that the sun exhibits to an observer on Earth are:
1. **Daily or Diurnal Cycle**: The sun appears to rise in the east, reach its highest point in the sky (noon), and then set in the west. This cycle repeats every 24 hours, resulting in day and night.
2. **Annual or Seasonal Cycle**: The sun's position in the sky changes throughout the year, creating the different seasons. This cycle is caused by the Earth's tilt on its axis as it orbits the sun. It leads to variations in sunlight intensity and duration, which in turn affects temperature, weather patterns, and the lengths of days and nights.
These two cycles - the diurnal and the seasonal cycle of the sun - play a significant role in shaping Earth's climate, agriculture, and daily life.