What is the relationship between the angle at which the sun rises and sets and the seasons and latitude?

If you know the latitude of the direct sun and your geographic latitude, you can figure it out.

The formula is: sin sunrise azimuth = sin direct latitude/sin(90 - geographic latitude), and the "sunrise azimuth" is how many degrees north or south of east or west the sun rises and sets.

For example, if the sun shines directly on the equator, the calculated azimuth is 0, that is, the sun rises from due east and falls in the west; if your geographic latitude is 60 degrees, the sun shines directly on the north latitude of 20 degrees, the calculated azimuth is 43.16 degrees, that is, the sun rises from the east north of 43.16 degrees, from the west north of 43.16 degrees to fall; if the sun shines directly on the south latitude of 20 degrees, take the -20 substitution of the direct sunshine latitude, yielding -43.16 degrees, i.e., the sun rises at 43.16 degrees east by south and falls at 43.16 degrees west by south.

If there is an extreme day or night at your latitude, the formula won't work, and of course there will be no sunrise or sunset.

----------------------------------------------------

September 23 is the autumnal equinox, in other words the sun is now 2 days away from the autumnal equinox on the ecliptic, i.e. about 2 degrees apart. To figure out the latitude of the sun's direct sunlight use a similar formula, but with a change in content.

The formula is: sin latitude of direct sun = sin angle of intersection of the ecliptic and the equinox * sin angular distance of the sun to the nearest equinox. (Direct sun north latitude is positive, direct sun south latitude is negative)

It is clearly evident that the north-south movement of the sun's point of direct sunlight is not uniform, but obeys a sinusoidal law, and there have been a few people who have taken this too literally before. The formula for the angular distance from the sun to the equinox, on today, for example, 2 days from the autumnal equinox, so the sun is about 2 degrees from the equinox, the generation of the formula calculated that the sun should be directly north latitude of 0.79 degrees.

So the sunrise azimuth should be 0.79 substituting the angle of direct sunlight, sin? = sin0.79/sin(90-26), to find? = 0.88 degrees, i.e., today (21st) is sunrise at 0.88 east-northwest and sunset at 0.88 west-northwest.