Question

lim as theta approaches 0 (cos theta-1)/sin theta

Answer 1

Multiply by the conjugate?

Answer 2

And welcome to openstudy btw :)

Answer 3

ohh ok so I would then multiply by cos theta + 1 ??

Answer 4

& thanks :))

Answer 5

Yup!

Answer 6

I was thinking multiplying by \(\dfrac{x}{x}\) would be simpler.

Answer 7

I doubt you know L'hopital?
And won't they give you the same thing, Siths?

Answer 8

No I don't no L'hopital ? & umm let me try

Answer 9

Yes, but not if you separate the limits:
\[\lim_{x\to0}\frac{\cos x-1}{\sin x}\cdot\frac{x}{x}=\color{blue}{\lim_{x\to0}\frac{\cos x-1}{x}}\cdot\color{red}{\lim_{x\to0}\frac{x}{\sin x}}\]

Answer 10

Sith, I don't think she's that far in calc :3
Let's just stick to the basics for now

Answer 11

lol i'm in cal 1

Answer 12

These limits are usually presented early on in the course. The blue is equivalent to 0, the red to 1.

Answer 13

oh so the answer would be 0 right? because they are being multiplied together

Answer 14

Pretty much, right?

Answer 15

Yes. Have you learned these limits yet?

Answer 16

not really :/ my professor briefly went over limits using trig functions so i'm confused :(

Answer 17

Don't worry, you got us :3

Answer 18

lol thanks :) I wasn't sure if this website was going to help :O

Answer 19

Trust me, it does. You just got to know the right people around here. @SithsAndGiggles is a great help around here

Answer 20

*cough* khan academy has great videos *cough*

Answer 21

Khan Academy? Pfft >.>

Answer 22

I have to go but I have some more questions where will I find you guys when I come back?

Answer 23

Probably on here still xD

Answer 24

lol ok hopefully!

Answer 25

You can also call over users by using the "@" and putting their names.

Answer 26

Like @kari.lynee