$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$

$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$

$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

$\csc(\theta) = \frac{1}{\sin(\theta)}$

$\sec(\theta) = \frac{1}{\cos(\theta)}$

$\cot(\theta) = \frac{1}{\tan(\theta)}$

$x = r \cos(\theta)$

$y = r \sin(\theta)$

$\sin^2(\theta) + \cos^2(\theta) = 1$

$\frac{2\pi}{|B|}$

Patterns that repeat over time.

Periodic functions represented by sine or cosine.

Functions that find angles from given sine, cosine, or tangent values.

Another way to express positions in a plane using distance and angle.

The maximum displacement from the midline of the function.

The length of one complete cycle of the function.

A transformation that moves the graph of a function up or down.

A circle with radius 1 centered at the origin, used to define trigonometric functions.

A unit of angular measure defined as the angle subtended at the center of a circle by an arc equal in length to the radius.

A function defined in polar coordinates, typically in the form r = f(θ).

It shows a periodic wave oscillating between -1 and 1, with x-intercepts at multiples of $\pi$.

The graph of cosine is a sine wave shifted $\frac{\pi}{2}$ units to the left. It starts at its maximum value.

It indicates a change in amplitude, making the wave taller or shorter.

It represents a circle centered on the x-axis passing through the origin.

It has vertical asymptotes at $x = \frac{\pi}{2} + n\pi$, where n is an integer, and a period of $\pi$.

It's the inverse of the sine function, defined for [-1, 1] and ranging from $[-\frac{\pi}{2}, \frac{\pi}{2}]$.

A circle centered at the origin with radius a.

The period decreases, causing the graph to oscillate more frequently.

Measure the distance between two consecutive peaks or troughs.

A spiral that extends outward from the origin as $\theta$ increases.