# Sine Rule Formula

## Sine Rule Formula

The law of sines establishes the relationship between the sides and angles of an oblique triangle(non-right triangle). Law of sines and law of cosines in trigonometry are important rules used for “solving a triangle”. According to the sine rule, the ratios of the side lengths of a triangle to the sine of their respective opposite angles are equal. The Sine Rule Formula needs to be learned in order to practice questions based on law of sines.

The ratios of a triangle’s side lengths to each of its opposite angles are related by the law of sines. For all three sides and diametrically opposed angles, this ratio stays constant. Therefore, using the necessary known information, it is important to use the sine rule to find the missing side or angle of any triangle. Given two angles and a side, a triangle’s remaining sides can be calculated using the law of sines. Triangulation is the name of this method. When there are two sides given and one of the non-enclosed angles, it can also be used.

## Sine Rule Formula

The lengths of a triangle’s sides are connected to the sines of succeeding angles using the law of sines formula. It is the sine of the angle thus formed between the remaining two sides of the triangle divided by the length of that side. Except for the SAS triangle and SSS triangle, any triangle can be calculated using the law of sines formula.

### Law of Sines Formula Example

The sine rule is an important concept in trigonometry. Solving questions related to the sine rule is necessary for students. The Sine Rule Formula is critical for practising questions. All the questions that are based on the Sine Rule Formula can be easily practised by taking assistance from Extramarks. Students must keep revising the Sine Rule Formula. The Extramarks learning platform has NCERT solutions available in PDF format. The application of Sine Rule Formula can be understood by taking help from Extramarks.