The Law of Sines is a relationship between the angles and the sides of a triangle.

**The Law of Sines or Sine Formula**

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.

'

When two sides and included angle
or the three sides of a triangle are given, the triangle cannot be solved using
the sine formula. In such a situation, the law of cosines can be used to solve
the triangle. Also, the Law of Cosines is used to derive a formula for finding
the area of a triangle given two sides and the included angle.

We shall use some elements of an
oblique triangle and the sine function to find the area of the triangle. Recall
that area formula for âˆ†*ABC* is Â½ bh where *b* is the base and *h* is the height. For oblique
triangle, we must find *h *before using the area formula.

Tags : Definition, Formula, Solved Example Problems, Exercise | Mathematics , 11th Mathematics : UNIT 3 : Trigonometry

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11th Mathematics : UNIT 3 : Trigonometry : The Law of Sines or Sine Formula | Definition, Formula, Solved Example Problems, Exercise | Mathematics

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