Question

state the following laws
1 sine law
2 cosine law​

Answer 1

The Law of Sines establishes a relationship between the angles and the side lengths of ΔABC: a/sin(A) = b/sin(B) = c/sin(C). This is a manifestation of the fact that cosine, unlike sine, changes its sign in the range 0° - 180° of valid angles of a triangle.

Answer 2

★ Answer ★

Sine Rule

It is the relationship between the sides and angles of non-right triangles. It states that the ratio of the length of a side of triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The sine rule used in the following cases :

• Given Two angles and One side ( AAS or SSA )
• Given two sides and a non-included angle ( SSA )

Cosine Rule

It is the square of a side of a plane triangle ( non - right triangles ) equals the sum of the squares of remaining sides minus twice the product of those sides and the cosine of the angle between them. The cosine rule used in the following cases :

• Given two sides and an included angle ( SAS )
• Given there sides ( SSS )

Refer The Above Attachment.