Exact trigonometric values
Trigonometric values in terms of square roots and fractions
Exact trigonometric values
In mathematics, the values of the trigonometric functions can be expressed approximately, as in cos ( π / 4 ) ≈ 0.707 {\displaystyle \cos(\pi /4)\approx 0.707} , or exactly, as in cos ( π / 4 ) = 2 / 2 {\displaystyle \cos(\pi /4)={\sqrt {2}}/2} . While trigonometric tables contain many approximate values, the exact values for certain angles can be expressed by a combination of arithmetic operations and square roots. The angles with trigonometric values that are expressible in this way are exactly those that can be constructed with a compass and straight edge, and the values are called constructible numbers.
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