The Law of Sines or Sine Formula
Chapter 2: Chapter 3 · Knowledge Base · EN medium
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. . Law of Sines The Law of Sines is a relationship between the angles and the sides of a triangle. While solving a triangle, the law of sines can be effectively used in the following situations: (i) To find an angle if two sides and one angle which is not included, by them are given. (ii) To find a side, if two angles and one side which is opposite to one of given angles, are given. Theorem . (Law of Sines) : In any triangle, the lengths of the sides are proportional to the sines of the opposite angles. That is, in △ ABC , a sin A = b sin B = c sin C = R where R is the circumradius of the triangle. Proof. The angle A of the △ ABC is either acute or right or obtuse.
📖 Namma Kalvi 11th Maths Textbook Volume 1 English Medium · Page 142
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. . Law of Sines The Law of Sines is a relationship between the angles and the sides of a triangle. While solving a triangle, the law of sines can be effectively used in the following situations: (i) To find an angle if two sides and one angle which is not included, by them are given.
(ii) To find a side, if two angles and one side which is opposite to one of given angles, are given. Theorem . (Law of Sines) : In any triangle, the lengths of the sides are proportional to the sines of the opposite angles. That is, in △ ABC , a sin A = b sin B = c sin C = R where R is the circumradius of the triangle.
Proof. The angle A of the △ ABC is either acute or right or obtuse. Let O be the centre of the circumcircle of △ ABC and R , its radius.
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