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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.
Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property.
The following is a list of integrals (antiderivative functions) of trigonometric functions.For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions.
In trigonometry, the gradian – also known as the gon (from Ancient Greek γωνία (gōnía) ' angle '), grad, or grade [1] – is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words, 100 gradians is equal to 90 degrees.
The precise conversion is 1 cuerda = 3,930.395625 m 2. [2] The term "Spanish acre" instead has been used sometimes by mainlanders. [1] A cuerda and an acre have often been treated as equal because they are nearly the same size. According to Carlos Menocal Villagran, [3] in Guatemala, the term cuerda refers to a unit of area and can have various ...
A cubic metre of pure water at the temperature of maximum density (3.983 °C) and standard atmospheric pressure (101.325 kPa) has a mass of 1000 kg, or one tonne.At 0 °C, the freezing point of water, a cubic metre of water has slightly less mass, 999.972 kilograms.
The original measures of length were clearly derived from the human body—the finger, hand, arm, span, foot, and pace—but since these measures differ between individuals, they are reduced to a certain standard for general use.
Publishing conversion tables relating the new units of measure to the existing units of measure. The panel decided that the new measure of length should be equal to one ten-millionth of the distance from the North Pole to the Equator (Earth quadrant), measured along the Paris meridian. [20]