law of sine sentence in Hindi
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- Therefore the law of sines can also be expressed as:
- The angle of this change can be determined using the law of sines.
- Theorems on the lengths of chords are applications of the law of sines.
- We can then find all the other segments using the law of sines.
- Applying the small angle approximations to the law of sines above results in;
- The law of sines can be generalized to higher dimensions on surfaces with constant curvature.
- In his " On the Sector Figure ", appears the famous law of sines for plane triangles.
- With these functions, one can answer virtually all questions about arbitrary triangles by using the law of sines and the law of cosines.
- 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.
- The plane law of sines was described in the 13th century by Nas + r al-D + n al-Tks + .
- The plane law of sines was later described in the 13th century by Nas + r al-D + n al-Tks + .
- He also stated the law of sines for spherical triangles, discovered the law of tangents for spherical triangles, and provided proofs for these laws.
- The law of sines can be used to compute the remaining sides of a triangle when two angles and a side are known a technique known as triangulation.
- In his " On the Sector Figure ", he stated the law of sines for plane and spherical triangles, and provided proofs for this law.
- Unfortunately, Medieval sailors with the rudimentary educational levels of the 14th and 15th centuries, were not likely to know the Law of Sines or manipulate it with ease.
- Ibn Mu?dh al-Jayyn + 's " The book of unknown arcs of a sphere " in the 11th century introduced the general law of sines.
- By substituting 0 } }, 1 } }, and " 1 } }, one obtains respectively the Euclidean, spherical, and hyperbolic cases of the law of sines described above.
- However, it does not tackle the traverse problem in one go, like the Law of Sines, but rather splits the problem into two right-angled triangles which it proceeds to solve successively.
- Ibn Mu?dh al-Jayyn + is one of several Islamic mathematicians to whom the law of sines is attributed; he wrote his " The Book of Unknown Arcs of a Sphere " in the 11th century.
- The spherical law of sines was discovered in the 10th century : it has been attributed variously to Abu-Mahmud Khojandi, Nasir al-Din al-Tusi and Abu Nasr Mansur, with Abu al-Wafa'Buzjani as a contributor.
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