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You have seen that you can calculate values of the sine function using right triangles formed by a radius of the unit circle. Values of that result in or triangles are frequently used because their sine and cosine values can be expressed exactly, without using a calculator. You should learn to recognize these values when you see them. The same is true for values of and that correspond to the - and -intercepts of the unit circle.

The central angles that correspond to these “special” values of are . What these angles have in common is that they are all multiples of or .

Copy and complete a table like the one below for all special angles between and .



All of the 'special' values of are multiples of either or .
Knowing just these two values allows you to easily find the rest.