Question

Use the triangle shown on the right to answer the question. According to the law on sines, which of the following statement(s) are true ? Check all that apply

Answer 1

The statements which are true are:

• 
  `a\sin B=b\sin A`

• 
  `(a)/(\sin A)=(b)/(\sin B)`

• 
  `(b)/(\sin B)=(c)/(\sin C)`

Explanation:

In Trigonometry, the Law of Sine relates the length of sides of a triangle to the angle of a triangle.

According to this law if a,b and c are the sides of a triangle and A,B and C respectively are opposite angles to the side.

Hence, we have:

`(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)`

i.e. we have:

`(a)/(\sin A)=(b)/(\sin B)`

This could also be given by:

`a\sin B=b\sin A`

`(b)/(\sin B)=(c)/(\sin C)`