Question

Find the exact value of sin A in simplest radical form.

Answer 1

Using the sine rule,

`(a)/(sin(a)) = (b)/(sin(b)) = (c)/(sin(c))`

Here we are going to use the values of A and C,

`(12)/(sin(a)) = (14)/(sin(90)) \\ (12)/(sin(a)) = (14)/(1) \\ sin(a) = 12 / 14 \\ sin(a) = 0.8571`

So sin(A) = 12/14 = 6/7 = 0.8571, but since the question says in its simplest radical form, I think the closest answer to it should be

`( √(3) )/(2)`