Question

Trig limits help?

Answer 1

\[\lim_{\theta \rightarrow \frac{ 7\pi }{ 6 }} \frac{ \sin \theta }{ 6 \theta } \]

Answer 2

It's been a long time since precal. Can somebody refresh me?

Answer 3

teta --> ? i dont see very well

Answer 4

7pi /6 @tanjung

Answer 5

You can simply plug in \(\theta=\frac{7\pi}{6}\)

Answer 6

But I'm getting 3/7pi and the book is getting -1/14pi

Answer 7

It's \(-\frac{1}{14}\) since:
\[
\sin\frac{7\pi}{6}=-\sin\frac{\pi}{6}=-\frac{1}{2}
\]Thus:
\[
6\left(\frac{7\pi}{6}\right)=7\pi
\]And:
\[
\frac{-\frac{1}{2}}{7\pi}=-\frac{1}{14\pi}
\]

Answer 8

So you do it as radians regardless it says theta?

Answer 9

Yep

Answer 10

\(\theta\) just means "angle".

Answer 11

Yeah I just caught my mistake -_- that was the last question of the day @LolWolf won't bother you anymore. Thanks

Answer 12

It's cool, and bother me? That's what I'm here for, haha... and no problem.

Answer 13

sin 7pi/6 = sin 210 degree = -1/2
6(7pi/6) = 7pi
if u divided both, get the anwer is
(-1/2)/7pi = -1/14pi

Answer 14

Thanks @tanjung I got it now! :)

Answer 15

yup..wellcome :)