This means that the value of \tan(90) we use is undefined (we cannot give this a value).įilling in these three values into the table, we have the final trigonometry table. In fact, the value could be infinitely large.
For example, the derivative of the sine function is written sin ( a) cos ( a ), meaning that the rate of change of sin ( x) at a particular angle x a is given. Labelling each side as 2 \ cm and each angle as 60^ and the opposite side is getting longer, \tan(90) is undefined as when we divide a very large number (the opposite) by a relatively small number (the adjacent), this can have little impact on the very large number. The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect to a variable. We start with an equilateral triangle with a side length of 2 \ cm. Let us start with how triangle A is constructed.