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Circular functions are graphed in such a way the domains of set numbers correspond to the measures of the angles of the trigonometric functions which are analogous in nature. The Circular function, therefore, is associated with the trigonometric function of the angles associated with the analogous nature of the figure and it is defined by set numbers of the domains. However, these functions are noted to be in the circular figures. Set of numbers in the analogous figure like that of the circular figures are coined to be associated with the real numbers. This set of real numbers defines the functionality of figures in circular functions.
Circular function meaning and its significance
Circular functions are associated with the values which are set in such a way that defines the domains as involved with the figure determining that functionality of the figure as a whole. There are certain ranges associated with these functions that serve the existence of the valuation of the circular function. It is therefore to be noted that these ranges that are associated with the functions are similar to that of the trigonometric functions. These functions help in the process of calculation as involved. These trigonometric functions and the ranges of the circular function are set in the paradigms of real numbers. It is purposefully so because these radian numbers help in the calculation of the corresponding trigonometric function and the calculation of the equations. The radian measures of the angles are mostly coined to be circular functions because these numbers are associated with the length of the arc of the circle which is mostly measured by the radian measures of the angles involved. To be precise, the trigonometric functions as associated with the unit circle leads directly to the circular function.
Circular function and its application
Circular functions are said to be a part of the trigonometric functions as involved in an equation. These trigonometric functions are associated with domains that are set in various angles and ranges. These angles and ranges are associated with real numbers. On the other hand, the circular function is involved in the process of calculation associated with certain sets of numbers that are correspondent to the ranges and angles of the associated trigonometric functions which are calculated in radians.
Circular functions are used in several fields of calculations for academic purposes. The circular functions are mostly used in geological processes and also used in engineering studies that are associated with different structures. This set of functions involved is called circular for a particular reason. It is so because the radian measures of angles are calculated by the length of the arc of the circle. These functions are further defined by radians. These radians are used for the measurement of the arc length of a particular circle. The circular functions are denoted as follows, If the angle is considered to be x and the coordinates of a graph are plotted in their standard position and P(A, B) lies on the terminal side of the angle x which lies on the unit circle then
“Cosine of x is denoted by cos (x) , therefore cos (x) = A”
“Sine of x is denoted by sin (x), therefore sin (x) = B”
“Secant of x is sec (x) , therefore Sec (x) = 1/ A”
“Cosecant of x is cos(x), therefore csc (x) = 1/B”
“Tangent of x is tan (x), therefore tan (x) = A/B”
“Cotangent of x is cot (x), therefore cot (x) = B/A”
Unit circle
The unit circle is the circle with a unit radius, which means that the radius of the circle is 1. It is used mostly in trigonometry that the unit circle with the radius of value 1 is cantered to the origin of (0, 0). This unit circle is placed in the Cartesian coordinate on a Euclidean plane. The equation of the unit circle is “x2 +y2= 1”.
Conclusion
Circular functions are the functions involved with the trigonometric equations that are utilized in several fields of study and are mostly used in the process of geological and streams of studies in engineering dealing with structures and buildings. These circular functions are mostly defined in a way that deals with the domains which are a set of numbers corresponding to the measures of the angles of the trigonometric functions which are analogous. These sets of numbers are all real numbers.
