Understanding Amplitude in Trigonometry | Definition and Examples

amplitude

In mathematics, specifically in trigonometry, the term “amplitude” refers to the maximum deviation or displacement of a periodic function from its equilibrium or mean value

In mathematics, specifically in trigonometry, the term “amplitude” refers to the maximum deviation or displacement of a periodic function from its equilibrium or mean value. It is commonly used in relation to trigonometric functions such as sine, cosine, and tangent.

For example, consider the sine function. The amplitude of a sine function determines the vertical distance from the x-axis to the maximum or minimum point of the wave. In the equation y = A*sin(x), “A” represents the amplitude. The larger the value of A, the taller or deeper the oscillation will be.

In simpler terms, the amplitude is a measure of the strength or magnitude of a periodic function. It does not affect the period or the frequency, but rather characterizes the range of values that the function will oscillate between over one complete cycle.

It is important to note that the amplitude can only be positive or zero since it represents a distance. It cannot be negative as it denotes a magnitude, not a direction.

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