File:Exact trigonometric table for multiples of 3°.jpg

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English: This is a table displaying the exact values of cosine and sine of angles which are multiples of 3°. Of course, this table can be continued to cover a larger range of angles than the displayed 45 degrees of the 1st octant, by using the properties of complementary angles. The tangent values can be deduced by calculating the ratio of sine and cosine. The values are expressed by means of reduced fractions, with an integer denominator (1, 2, 4 or 8), and a numerator based on sums and products of integers (1 or 2) or of the square roots of: (5 ± √5), (2 ± √3), 2, 3, 5, and 6.
Français : Ceci est une table affichant les valeurs exactes des sinus et cosinus des angles multiples de 3°. Bien sûr, cette table peut être continuée pour couvrir une plus large étendue angulaire que les 45 degrés du premier octant, en utilisant les propriétés des angles complémentaires. Les valeurs des tangentes peuvent être déduites en calculant le rapport du sinus et du cosinus. Ces valeurs sont exprimées au moyen de fractions réduites, avec un dénominateur entier (1, 2, 4 ou 8) et un numérateur basé sur des sommes et produits d’entiers (1 ou 2) ou de racines carrées de : (5 ± √5), (2 ± √3), 2, 3, 5 et 6.
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Author Deborah Stranen
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