1. Therefore the law of sines can also be expressed as: 2. The angle of this change can be determined using the law of sines . 3. Theorems on the lengths of chords are applications of the law of sines . 4. We can then find all the other segments using the law of sines . 5. Applying the small angle approximations to the law of sines above results in; 6. The law of sines can be generalized to higher dimensions on surfaces with constant curvature. 7. In his " On the Sector Figure ", appears the famous law of sines for plane triangles. 8. With these functions, one can answer virtually all questions about arbitrary triangles by using the law of sines and the law of cosines. 9. The law of sines is useful for computing the lengths of the unknown sides in a triangle if two angles and one side are known. 10. The plane law of sines was described in the 13th century by Nas + r al-D + n al-Tks + .
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