Find amplitude from the coefficient of sine or cosine
Result
Amplitude
Step-by-Step Derivation
Amplitude Formula
amplitude = |A|
Amplitude measures the distance from the midline of a sine or cosine graph to a maximum or minimum. It is the absolute value of the leading coefficient.
⚠This calculator focuses on sine and cosine models. Tangent functions do not have amplitude in the same way.
How Amplitude Works
The coefficient A vertically stretches or reflects the graph. Taking its absolute value gives the height of the wave from the midline.
Coefficient A
The multiplier before sine or cosine.
Absolute Value
Amplitude is |A|.
Graph Height
Distance from midline to peak.
No Negative
Amplitude is never negative.
💡 Example: For y=-4sin(x), amplitude=|-4|=4.
Applications of Amplitude
Trig GraphsWave MotionSoundPhysics
Frequently Asked Questions
What is an amplitude calculator?▼
It finds the amplitude of a sine or cosine function from the coefficient A.
What is the amplitude formula?▼
For y=A sin(Bx+C)+D or y=A cos(Bx+C)+D, amplitude is |A|.
How do I use this calculator?▼
Enter coefficient A and click Calculate.
Can amplitude be negative?▼
No. Amplitude is a distance, so it is always nonnegative.
Where is amplitude used?▼
Amplitude is used in trig graphs, waves, oscillations, sound, and physics.
Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.