Fina the exactialie of sin((19pi )/(12)) using the sum/differentle identity. sin((19x)/(12))=square (sqrt (6)+sqrt (2))/(4) (-sqrt (6)-sqrt (2))/(4) sqrt (6)-sqrt (2) sqrt (2)-sqrt (6)

Question

Answer 1

To find the value of

using the sum/difference identity, we can break it down into two angles whose sine values we know.We can express

as the sum of

and

, which simplifies to

and

respectively.Using the sum identity for sine, we have:

Using the sum identity for sine, we have:

Now, we can substitute the known values of

,

, and

:

,

, and

Substituting these values, we get:

Simplifying, we get:

Therefore, the correct answer is

.

Problemas