Trigonometric Functions

posted on: 26 May, 2012 | updated on: 19 Sep, 2012

Trigonometric Functions are also known as circular Functions; trigonometric functions are the functions of angles. These functions are helpful to form a relation between the angle and sides of triangle. Sine, cosine, tangent, are the function which are most familiar trigonometric function. The trig function can be more precisely defined with the help of ratios, ratios of the two sides of a Right Angle triangle. Trigonometric functions can be used for calculating lengths and angle of the right angle triangle. Trigonometric functions can be used for navigation, medical imaging, engineering, optics, probability theory. Also the function such as sine and cosine are apparently used to model periodic function phenomenon like in sound and light waves. Basically six common trigonometric functions are there. We can relate them easily with one another.

Now lets define the trigonometric functions with the help of angle ‘C’, initiating with the right angled triangle that consists of angle ‘C’. The three sides of triangle can be named as:
Hypotenuse is the longest side of triangle and it is the side opposite to the Right Triangle.
The opposite is the side opposite to the angle we are placing in i.e. angle ‘C’.
The total of angle inside the right triangle is 180⁰, therefore the angles of right triangle will be 90⁰ and other two angles will be acute whose sum will be equal to 90⁰. So the following description of angles will apply to the angles between the 0⁰-90⁰.

Trig functions are discussed below:
Sine C = Perpendicular/hypotenuse.
Cosine C = base/ hypotenuse.
Tangent C = perpendicular/ base.
Cosecant C = 1/ sine C
Secant C= 1/ Cos C
Cotangent C = 1/ Tan C = cos C/ sin C.

Topics Covered in Trigonometric Functions

Periodic Functions

posted on: 20 Jun, 2012 | updated on: 15 Sep, 2012

In Calculus, we use the notion of periodic Functions frequently. A periodic function can be defined as a function whose values reiterate in recurrent spaces or intervals. There are a large number of examples of the periodic Functions that include the trigonometric functions (i.e. sine, cosine, tangent, and cotangent and secant functions). A notable feature of the func...Read More

Evaluation of Trigonometric Functions

posted on: 20 Jun, 2012 | updated on: 19 Sep, 2012

Trigonometry is a stream of mathematics which performs operations on angles and sides of a triangle. Trigonometric Functions are defined as the Functions including the various Trigonometric Equations. There are six Trigonometric Functions defined in Trigonometry these are:
sin x, cos x, tan x, cot x, sec x and cosec x.
Cosec x is inversely proport...Read More

Sin Cos Tan Table

posted on: 13 Jul, 2012 | updated on: 04 Sep, 2012

The table of trigonometric angles is shown below.

0⁰

30⁰

45⁰

60⁰

90⁰

180⁰

270⁰

What are the Derivatives of Trigonometric Derivatives

posted on: 20 Jul, 2012 | updated on: 03 Aug, 2012

Trigonometric Functions Derivatives is basically differentiation of Trigonometric Functions to find the rate at which function changes with respect to a variable. Six trigonometric functions that we are going to differentiate are sin (X), cos (X), tan (X), cosec (X), sec (X) and cot (X). One should have good knowledge of various Differentiation Rules ...Read More

Trigonometric Functions of Any Angle

posted on: 20 Jul, 2012 | updated on: 21 Jul, 2012

Trigonometric Functions are basically most important concept of Trigonometry which are generally used to calculate internal angles of Triangles. Trigonometric functions are sine function, cosine function, tangent function, cotangent function, cosecant function and secant function. These functions give a definite value of angles in certain degrees. We...Read More

Graphing Trigonometric Functions

posted on: 21 Jul, 2012 | updated on: 07 Sep, 2012

Trigonometric Functions can be defined as functions of angles, they are also known as Circular Functions. Basically they are used to compare angles to length of sides of triangle. Here we will see Graphing trigonometric functions.
We will start with basic sine function, suppose we have a function f (p) = sin (p). Amplitude value of this function is 1 be...Read More