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:
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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