1What is the limit of $\frac{\sin x}{x}$ as $x$ approaches $0$?
$\lim_{x \to 0} \frac{\sin x}{x} = 1$
2What is the limit of $\frac{1 - \cos x}{x}$ as $x$ approaches $0$?
$\lim_{x \to 0} \frac{1 - \cos x}{x} = 0$
3What is the limit of $\frac{1 - \cos x}{x^2}$ as $x$ approaches $0$?
$\lim_{x \to 0} \frac{1 - \cos x}{x^2} = \frac{1}{2}$
4What is the limit of $\frac{\tan x}{x}$ as $x$ approaches $0$?
$\lim_{x \to 0} \frac{\tan x}{x} = 1$
5What is the derivative of $\sin x$?
$\frac{d}{dx}[\sin x] = \cos x$
6What is the derivative of $\cos x$?
$\frac{d}{dx}[\cos x] = -\sin x$
7What is the derivative of $\tan x$?
$\frac{d}{dx}[\tan x] = \sec^2 x$
8What is the derivative of $\csc x$?
$\frac{d}{dx}[\csc x] = -\csc x \cot x$
9What is the derivative of $\sec x$?
$\frac{d}{dx}[\sec x] = \sec x \tan x$
10What is the derivative of $\cot x$?
$\frac{d}{dx}[\cot x] = -\csc^2 x$