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The 63rd parallel south is a circle of latitude that is 63 degrees south of the Earth's equatorial plane. It crosses the Southern Ocean and Antarctica . At this latitude the sun is visible for 20 hours, 19 minutes during the December solstice and 4 hours, 42 minutes during the June solstice .
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The 42nd parallel south is a circle of latitude that is 42 degrees south of the Earth's equatorial plane. It crosses the Atlantic Ocean, the Indian Ocean, Australasia, the Pacific Ocean and South America. At this latitude the sun is visible for 15 hours, 15 minutes during the December solstice and 9 hours, 7 minutes during the June solstice.
The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.
The 7th parallel south is a circle of latitude that is 7 degrees south of the Earth's equatorial plane. It crosses the Atlantic Ocean, Africa, the Indian Ocean, Southeast Asia, Australasia, the Pacific Ocean and South America. Part of the border between the Democratic Republic of the Congo and Angola is defined by the parallel. [1]
The 43rd parallel south is a circle of latitude that is 43 degrees south of the Earth's equatorial plane. It crosses the Atlantic Ocean, the Indian Ocean, Australasia, the Pacific Ocean and South America. On December solstice the sun is at 70.83 degrees in the sky and on June solstice it is at 23.17 degrees.
The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.
m and n are coprime (also called relatively prime) if gcd(m, n) = 1 (meaning they have no common prime factor). lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n). gcd(m, n) × lcm(m, n) = m × n. Finding the prime factors is often harder than computing gcd and ...