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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. By symmetry, the bisected side is half of the side of the equilateral triangle, so one concludes sin ( 30 ∘ ) = 1 / 2 {\displaystyle \sin(30^{\circ ...
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...
For example, the cosine and sine of 2π ⋅ 5/37 are the real and imaginary parts, respectively, of the 5th power of the 37th root of unity cos(2π/37) + sin(2π/37)i, which is a root of the degree-37 polynomial x 37 − 1.
Sungai Siring Airport was designed as a replacement for the former Samarinda Airport (commonly known as Temindung Airport) originally built in 1973. Located in the densely built-up Sungai Pinang District with a single runway extending into settlements, Temindung had only limited room for expansion to cope with steadily increasing air traffic.
2.60 g: Cupronickel: Reeded: Coat of Arms, "Singapore" in 4 official languages: Value and Jasminum multiflorum: 2 December 1985 20 cents: 21.36 mm: 1.72 mm: 4.50 g: Value and Calliandra surinamensis: 50 cents: 24.66 mm: 2.06 mm: 7.29 g: Value and Allamanda cathartica: 2 December 1985 Inscribed "Republic of Singapore" and the lion symbol: 28 May ...
The first half of the name Tausug derives from the Tausug word tau, meaning person. [18] The origin of the latter half of the name has been subject to debate. The term sūg is widely accepted to derive from the word meaning sea current, with the definition of the whole name supposedly meaning “people of the [sea] current”. [19]