Sine: Odd | Cosine: Even

Cosine is sine shifted left by $\frac{π}{2}$.

Amplitude: Vertical distance from midline | Midline: Horizontal center.

Period: Length of one cycle | Frequency: Cycles per unit time.

Concave Up: Curve smiles | Concave Down: Curve frowns.

Period: Time for one cycle | Frequency: Cycles per unit time

Amplitude: Vertical distance from midline | Midline: Horizontal center of the wave

Sine: Starts at midline | Cosine: Starts at maximum/minimum

Vertical: Affects amplitude | Horizontal: Affects period

Positive: Starts increasing | Negative: Starts decreasing

Cosine is a sine function shifted left by $\frac{π}{2}$.

The length of one complete cycle before repetition.

How many cycles occur in one unit of time.

It shifts the graph vertically up or down.

It stretches or compresses the graph vertically.

Odd symmetry; symmetric about the origin.

Even symmetry; symmetric about the y-axis.

Horizontal stretches/compressions change the period.

Vertical stretches/compressions change the amplitude.

They are reciprocals of each other.

$cos(θ) = sin(θ + \frac{π}{2})$

$f = \frac{1}{T}$

$k = \frac{y_{max} + y_{min}}{2}$

$Amplitude = \frac{y_{max} - y_{min}}{2}$

$f(-x) = -f(x)$

$f(-x) = f(x)$

$2\pi$

$2\pi$

$\frac{1}{2\pi}$

$\frac{1}{2\pi}$