# Math Help - understanding a step in proving that limit as x->0 of sinx/x =1

1. ## understanding a step in proving that limit as x->0 of sinx/x =1

as part of the proof that sinx/x=1 or x/sinx=1 we have this picture ->

I don't understand how they got from part 1 to part 2 of that.

2. ## Re: understanding a step in proving that limit as x->0 of sinx/x =1

Originally Posted by kingsolomonsgrave
as part of the proof that sinx/x=1 or x/sinx=1 we have this picture ->

I don't understand how they got from part 1 to part 2 of that.
Assuming that you are working with \displaystyle \begin{align*} \theta > 0, \cos{\theta} > 0 \end{align*}, then we have

\displaystyle \begin{align*} \theta &< \frac{\sin{\theta}}{\cos{\theta}} \\ \theta \cos{\theta} &< \sin{\theta} \\ \cos{\theta} &< \frac{\sin{\theta}}{\theta} \end{align*}

3. ## Re: understanding a step in proving that limit as x->0 of sinx/x =1

thanks! I get it now