Sinusoidal function
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Sinusoidal function
A function that resembles sin(x). It usually takes the form of sin(x) or cos(x). Its most general form is , where A is the amplitude, k is related to the period, B is the phase shift, and C is the vertical shift.
- Related Glossary Terms
Amplitude, Double Angle, Period, Phase shift, Unit circle, Vertical shift
- Index
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Sinusoidal function
A sinusoidal function has the shape of a sine or cosine graph after shifts, scaling, and possible reflection. A common form is A sin(B(x−h))+D with nonzero A and B. For example, 2 sin(3x)+1 has amplitude 2, midline 1, and period 2π/3. The parameters control vertical variation, repetition, and position of the wave.