Question

sin((11π)/(12))
find the exact value

Answer 1

YOUR ANSWER IS : 0.05

Answer 2

thats not a choice.

Answer 3

it suppose to be sqrt something and sqrt something over 4.

Answer 4

WHY?

Answer 5

Use this simple fact to your advantage~
\[\Large \frac{11\pi}{12}=\frac{2\pi}{3}+\frac{\pi}{4}\]

Answer 6

And, of course, this identity...
\[\Large \sin(\color{red}\alpha+\color{blue}\beta) = \sin(\color{red}\alpha)\cos(\color{blue}\beta) + \cos(\color{red}\alpha) \sin (\color{blue}\beta)\]

Answer 7

so would it be sqrt 2 -sqrt6 4?

Answer 8

lol I actually don't know, I was hoping you'd plug in for me :)

Answer 9

If we work this out, we'll get to the answer.

Answer 10

i dont know what to do.

Answer 11

YOUR ANS IS: 0.07 GOOD LUCK.

Answer 12

Okay, to begin with,
\[\Large \sin\left(\frac{11\pi}{12}\right)= \sin\left(\color{red}{\frac{2\pi}{3}}+\color{blue}{\frac{\pi}{4}}\right)\]

Answer 13

And use this formula
\[\Large \sin(\color{red}\alpha+\color{blue}\beta) = \sin(\color{red}\alpha)\cos(\color{blue}\beta) + \cos(\color{red}\alpha) \sin (\color{blue}\beta)\]