Question

sin -11 pi /12...

is the answer (-sqrt6-sqrt2)/4

Answer 1

\(\bf sin\left(-\cfrac{11\pi}{12}\right) \ \ ?\)

Answer 2

yes

Answer 3

so how did you get that answer?

Answer 4

i solved for regular 11pi/12 and then switched the signs

Answer 5

hmm, dunno, I'd have to do it, but yes
sin( -x ) = - sin(x)

Answer 6

so i was right?

Answer 7

well, lemme do it

Answer 8

ok

Answer 9

$$\bf sin\left(-\cfrac{11\pi}{12}\right) \implies -sin\left(\cfrac{11\pi}{12}\right)\\
sin\left(\cfrac{\pi}{4}+\cfrac{2\pi}{3}\right)\\
\cfrac{\sqrt{2}}{2}\cdot\cfrac{-1}{2}+\cfrac{\sqrt{2}}{2}\cdot\cfrac{\sqrt{3}}{2} \implies -\cfrac{\sqrt{2}}{4}+\cfrac{\sqrt{6}}{4}\\
\cfrac{\sqrt{6}-\sqrt{2}}{4}\\
\text{now recall we have a -1 in front of the sine}\\
\left(\cfrac{\sqrt{6}-\sqrt{2}}{4}\right) \implies \cfrac{\sqrt{2}-\sqrt{6}}{4}
$$

Answer 10

ohhhhh so i had it inverted by doing what i did

Answer 11

thank you!

Answer 12

yw