Wednesday, May 26, 2010

Inverse Trigonometric Functions


Inverse Trigonometric Functions:

The meaning of word "Trignometry" comes from two greek words trigonon and metron where trigonon means triangle and metron means measure.Trignometry deals with the relation between the angles and sides in a triangle.It is a branch of Mathematics mostly useful for the measurements of areas, heights and distances.

The inverse trigonometric functions or cyclometric functions are the so-called inverse functions of the trigonometric functions, though they do not meet the official definition for inverse functions as their ranges are subsets of the domains of the original functions.

The most important thing that we need to learn about the Trigonometric Functions is its Properties.

Properties of Inverse Trigonometric Functions:

The inverse functions of trigonometry are other than specified as cyclometric functions the both functions are also specified as inverse functions of the trigonometric. The properties of trigonometric should encompass the functions and angles. The majority trigonometric functions are sin, cos, tan. Let us see about the properties in this Blog.
1. Sine functions- The trignometric sine function is written as sin,and function is, f(x) = a*sin(bx+c)+d
2. Cosine funtcions-The trignometric cosine function is written as cos,and function is
f(x) = a*cos(bx + c) + d
3. Tangent functions - The trignometric tangent function is written as tan, and function is f(x) = a × tan(bx+c) + d
We can understand the meaning of Trigonometric Functions better with the help of the figure given above:
Example of Trigonometric Functions:
Signs of 6 Trignometric Functions:

* The entire coordinate plane is divided into four quadrants and are named in counter clock-wise direction.

* First quadrant ranges from 0 º to 90 º and the second quadrant ranges from 90 º to 180 º.

* Third quadrant ranges form 180 º to 270 º and the fourth quadrant ranges from 270 º to 360 º.

* Let P(x , y) be a point in the coordinate plane.

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