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The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 45°. [1] In the table below, the label "Undefined" represents a ratio :
A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. [4] It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit. [5]
The "latitude" of a circle representing a particular rotation angle will be half of the angle represented by that rotation, since as the point is moved from the north to south pole, the latitude ranges from zero to 180 degrees, while the angle of rotation ranges from 0 to 360 degrees. (the "longitude" of a point then represents a particular ...
Moreover, the pole itself can be expressed as (0, φ) for any angle φ. [11] Where a unique representation is needed for any point besides the pole, it is usual to limit r to positive numbers (r > 0) and φ to either the interval [0, 360°) or the interval (−180°, 180°], which in radians are [0, 2π) or (−π, π]. [12]
These directions are expressed in degrees from 0–360°, and also fractions of a degree. The differences between these two directions at any point on the globe is magnetic variation (also known as magnetic declination , but for the purposes of the mnemonic, the term 'variation' is preferred).
For example, an object relative bearing of 0 degrees would be immediately in front; an object relative bearing 180 degrees would be behind. [2] Bearings can be measured in mils, points, or degrees. Thus, it is the same as an azimuth difference (modulo +/- 360 degrees).
An analysis of special elections since November offers some clues about the party's changing fortunes.
A common compass rose as found on a nautical chart showing both true north (using a nautical star symbol) and magnetic north with magnetic variation. Also notice the correspondence between the 32-point rose (inner circle) and the modern 0–360° graduations. Compass rose with the eight principal winds.