Trigonometry

Calculus

Algebra

Geometry

Sine

Cosine

Tangent

Cosecant

Latitude = arcsin(sin(altitude) / sin(declination))

Latitude = arccos(cos(altitude) / cos(declination))

Latitude = arctan(tan(altitude) / tan(declination))

Latitude = arccot(cot(altitude) / cot(declination))

Longitude = arcsin(cos(altitude) / cos(declination))

Longitude = arccos(sin(altitude) / sin(declination))

Longitude = arctan(tan(altitude) / tan(declination))

Longitude = arccot(cot(altitude) / cot(declination))

The angle between the star and the celestial equator

The angle between the star and the ecliptic

The angle between the star and the horizon

The angle between the star and the zenith

The angle between the star and the celestial equator

The angle between the star and the ecliptic

The angle between the star and the horizon

The angle between the star and the zenith

The point directly overhead

The point directly below

The point on the horizon

The point on the celestial equator

The point directly overhead

The point directly below

The point on the horizon

The point on the celestial equator

The path of the sun around the Earth

The path of the Earth around the sun

The path of the moon around the Earth

The path of the Earth around the moon

The line that divides the celestial sphere into two equal halves

The line that connects the north and south poles of the celestial sphere

The line that passes through the zenith and the nadir

The line that passes through the east and west points of the celestial sphere

The line of longitude that passes through Greenwich, England

The line of longitude that passes through the North Pole

The line of longitude that passes through the South Pole

The line of longitude that passes through the equator

Latitude is the angle between the star and the celestial equator, while longitude is the angle between the star and the prime meridian

Latitude is the angle between the star and the ecliptic, while longitude is the angle between the star and the prime meridian

Latitude is the angle between the star and the horizon, while longitude is the angle between the star and the prime meridian

Latitude is the angle between the star and the zenith, while longitude is the angle between the star and the prime meridian

It allows sailors to determine their position on the Earth

It allows sailors to calculate the distance between two points

It allows sailors to plot a course for their journey

All of the above

They used the stars to determine their latitude

They used the stars to determine their longitude

They used the stars to plot a course for their journey

All of the above

Storms and rough seas

Pirates and other dangers

Unfamiliar coastlines

All of the above