# Derive, using the cosine formula for the sides of a spherical triangle, a formula connecting the longitude of the Sun L with its right

November 10, 2020 | Education

| **Derive, using the cosine formula for the sides of a spherical triangle, a formula connecting the longitude of the Sun L with its right ascension a and its declination b. Make a drawing first. Draw the same conclusion using the sinus formula.**

In the triangle formed by the equator, the ecliptic and the declination circle of the Sun, the angle against the L side is straight, and the formula takes the form: cos L = cos a cos b. By the sine theorem: sin 6 = sin e sin L.

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