# Trigonometric Functions

**Trigonometric Functions**:

We have already defined the trigonometric functions such as sine , cosine , tangent of any magnitude already here:

Now , we consider trigonometric functions for angles of a right angled triangle , and see how they are a special case of trigonometric functions of angle of any magnitude.

Suppose ABC is a right angled triangle with hypotenuse “c” , “a” the side opposite to the angle and “b” the side adjacent to the angle , as shown in the figures below:

And we can also show the above right angled triangle in the form of a triangle inscribed in a circle in standard position as:

Then we can define the six trigonometric functions of as follows:

sine:

cosine:

tangent:

cosecant:

secant:

cotangent:

**Values of trigonometric functions for standard angles**:

The values of trigonometric functions for general or standard angles are given in the image below:

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