## 3psilon 3 years ago Trig limits help?

1. 3psilon

$\lim_{\theta \rightarrow \frac{ 7\pi }{ 6 }} \frac{ \sin \theta }{ 6 \theta }$

2. 3psilon

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

3. tanjung

teta --> ? i dont see very well

4. 3psilon

7pi /6 @tanjung

5. LolWolf

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

6. 3psilon

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

7. LolWolf

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: $\frac{-\frac{1}{2}}{7\pi}=-\frac{1}{14\pi}$

8. 3psilon

So you do it as radians regardless it says theta?

9. LolWolf

Yep

10. LolWolf

$$\theta$$ just means "angle".

11. 3psilon

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

12. LolWolf

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

13. tanjung

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

14. 3psilon

Thanks @tanjung I got it now! :)

15. tanjung

yup..wellcome :)