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Graphs Of Circular Functions

The equation x2 + y2 = 1 forms the Circle in Rectangular Coordinate System. This graph is known as Unit Circle it has radius one with the center at its origin i.e. (0, 0). The Domain of the trigonometric function is the Set of angles and their ranges are the set of real Numbers. Circular Functions are defined in a way such that Sets of angles are domain which correspond to the measures of the angles of the analogous trigonometric function, like in analog Trigonometry the range of these Trigonometric Functions are also the set of Real Numbers and these type of functions are termed as Circular Functions, here the Radian Measure of angle is determined by the length of arc of circle. In other words when Trigonometric Functions are defined using unit circle then they directly head towards these graphs of the circular functions.
Lets plot the Graphs of Circular Functions with unit circle equation x2 + y2 = 1 as we can see in the figure:

 
Point A (1, 0) is located at the Intersection of x - axis and of the unit circle. Let ‘q’ be the real number. Graphing circular functions is done by Initiating from Point ‘A’ and measuring â”‚q│ units along the unit of the circle in anti clockwise direction. Here q > 0 and in clockwise direction if q < 0 and it ends up at point p(x, y). So other remaining circular function such as Tangent, cotangent, secant, cosecant can be defined in the terms of sine and cosine.
Sin q = y,
cos q = x,
Therefore rest of the functions will be:
tan q = sin q/ cos q ; cos q ≠ 0,
cot q = cos q / sin q ; sin q ≠ 0,
sec q = 1/ cos q ; cos q ≠ 0,
cosec q = 1/ sin q ; sin q ≠ 0.

Topics Covered in Graphs Of Circular Functions

Characteristic of Cosine Graph

There are different types of the graphs which we study under the subject of the Math especially in the topic of the Trigonometry for example the graph of the sine function, the graph of the cosine function, the graph of the Tangent function and also the graphs of the Logarithm function and the Exponential Function and many other graphs. It is very importan...Read More

Characteristic of Sine Graph

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Steps to Graph a Basic Sine or Cosine Function

First of all lets go through sine and cosine function and then we will see steps to graph a basic sine or cosine function. A sine function is basically a function which is a function of angle. It is related to the sides of triangle and angles of a Right Triangle. Let us take a a Right Angle triangle with base AB , Height BC and Hypotenuse A...Read More

Graphs of Sine and Cosine Functions

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Graphs of Basic Circular Functions

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Graphs of inverse Circular Functions

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Changes in Sine and Cosine Functions

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