🔍 Chapter 8: Sinusoidal Functions

Compute \( \sin 0°, \sin 90°, \sin 180°, \sin 270°, \sin 360° \).

Compute \( \cos 0°, \cos 90°, \cos 180°, \cos 270°, \cos 360° \).

Sketch the parent function \( y = x^2 \), then sketch \( y = 2(x - 3)^2 + 1 \). State the transformations.

If a function repeats every 4 units, what is its period? If the maximum is 10 and minimum is 2, what is the amplitude? The midline?

For \( y = a f(k(x - d)) + c \), name the role of each parameter \( a, k, d, c \).

A wave repeats every 8 seconds. Find the value of \( k \) so that \( \sin(kt) \) has a period of 8 s (in degrees per second).

Where in everyday life have you seen a periodic pattern? (Tides? Day length? Sound? Heartbeat?) Pick one and describe its period and amplitude in words.