Question

Find the limit:
lim θ->0
cos θ tanθ/θ

Answer 1

since cos(0) = 1 this is just a silly little trig game

Answer 2

unless im reding it wrong; then its a difficult silly little trig game :)

Answer 3

rewrite as sin(t)/t

Answer 4

goes to 1

Answer 5

\[\cos(\theta) \cdot \frac{\sin(\theta)}{\cos(\theta)}\cdot \frac{1}{\theta} =\frac{\cos(\theta)}{\cos(\theta)} \cdot \frac{\sin(\theta)}{\theta}\]

Answer 6

they want you to say "oh i know , this is
\[\lim_{\theta \rightarrow 0}\frac{\sin(\theta)}{\theta}\] and i learned that one last week

Answer 7

as sin(t) and t get close zero; they pretty much converge onto each other so that they go to 1

Answer 8

\[\lim_{\theta \rightarrow 0}\frac{\cos(\theta)}{\cos(\theta)} \cdot \frac{\sin(\theta)}{\theta}=\lim_{\theta \rightarrow 0}\frac{\sin(\theta)}{\theta}=1\]

Answer 9

picture not to scale :)

Answer 10

\[\color{blue}{\text{amistre }}=\color{red}{\text{picasso}}\]

Answer 11

there is a "ask a question" box to the top left of the screen; use that to ask questions in, it will get more of an audience that way