# Sine Function: Geographic Information Science

The sine wave is a derivative of a sine function that can be represented in the form of a curve generated by periodic oscillations of identical amplitude. This kind of consistency makes it safe to say that sine waves are pure tones because of uniform oscillations (Hartmann, 2021). Even though there are several other types of waves (sawtooth, triangle, square), sine waves are used in different areas of human life much more often than any of them. From music to healthcare, there are quite a few means of employing waveforms to advance human wellbeing. This paper takes on the subject of sine waves and discusses them in rich detail in order to explain their core benefits and properties.

## A General Overview of Sine Function

The sine function was a crucial discovery for mathematicians because all sounds in nature consist of sine waves. Even when there is a more complex sound, it represents a stack of audial images that are generated by using a greater number of oscillations at varied frequencies (Kramer & Brown, 2021). Sine waves of higher frequencies are also known as harmonics. Due to the physics of a multitude of materials and substances (including air), all sounds in nature contribute to the generation of harmonics (Ballatore et al., 2019). In electronics, an unvarying electrical signal can be seen within an AC circuit as a sine wave as well. Thus, the sine function is one of the most often met waveforms in the world. The nature of a basic sine wave can be understood without a profound knowledge of mathematics. Hence, a sine function is a mathematically predictable wave that adheres to trigonometric rules under the condition of consistent oscillations.

## Use in Audio

The primary finding about sine waves is that they replicate the way sound goes through the air. Thus, audio recording is a way of understanding how the sine wave functions in real-life conditions. In other words, waveforms within a song adhere to three fundamental features – amplitude, wavelength, and frequency. Amplitude is measured in Volts, Frequency is measured in Hertz, and Wavelength is measured in small distance divisions (for instance, nanometers) (Reetz & Jongman, 2020). Regardless, frequency is the primary factor to consider when using sine waves in audio because it defines both the note and the pitch that the human ear will be able to distinguish. Accordingly, a higher-frequency sine wave would stand for a higher note in a song due to the specifics of human psychoacoustics. When the sound jumps up an octave, it means that the frequency has been doubled, and the actual physical variation occurred. Accordingly, jumping down an octave means cutting the frequency in half (Sueur, 2018). Even though human hearing gets affected by the non-linearity of psychoacoustics, the physics of sine waves remains unchanged.

## Wavelength and Other Physical Properties of Sine Waves

The wavelength could be reviewed as a separate factor affecting the use of sine function because of the unique nature of acoustics scenarios. For instance, sine waves could be investigated based on how they aided music production needs (Hartmann, 2021). The wavelength could easily contribute to the generation of ideal listening conditions if used correctly. Thus, one could also resort to a variety of materials intended to stop sound waves depending on their wavelength. For example, higher-frequency sounds could be easily absorbed by thin carpets. On the other hand, long-wavelength bass sounds would force the end-user to utilize more absorbent material to stop it from penetrating nearby walls (Ballatore et al., 2019). It also shows how any unwanted interference would have to be mediated by an adequate amount of absorbent materials and the proper treatment of sine waves. Thus, shorter waves are disregarded often because they are trapped much more effectively than their longer, bass-like counterparts.

The wavelength and amplitude of sine waves have to be measured to ensure that the calculations also take care of the speed of sound. With a speed of 343 meters per second, sound tends to remain affected by gravitational forces, air pressure, humidity, and altitude (Reetz & Jongman, 2020). Thus, the physics of sine waves suggests that it is relatively hard to put acoustic treatment into perspective. Nevertheless, most calculations are reasonably rounded and provide researchers with adequate insight into how waveform locomotion should be predicted.

## Conclusion

Waveforms represent one of the key reasons why humans and other live organisms perceive the world differently. Full-fledged access to the ability to distinguish various signals and utilize them in a plethora of real-life scenarios makes it impossible to ignore the inherent significance of sine waves. From music to healthcare, waves of varying lengths represent an essential contributor to human wellbeing. Nevertheless, any given wave should be recorded and processed with close attention being paid to the amplitude of the sound and the frequency content. Thus, sine waves can be seen as defined by the amplitude, signal loudness, and pitch of the signal. It is crucial to recognize the fundamental impact of sine waves and adhere to the mathematical background of sound to make the best use of available technologies and knowledge.

## References

Ballatore, A., Gordon, D., & Boone, A. P. (2019). Sonifying data uncertainty with sound dimensions. Cartography and Geographic Information Science, 46(5), 385-400.

Hartmann, W. M. (2021). Localization and lateralization of sound. In Binaural Hearing (pp. 9-45). Springer.

Kramer, S., & Brown, D. K. (2021). Audiology: Science to practice. Plural Publishing.

Reetz, H., & Jongman, A. (2020). Phonetics: Transcription, production, acoustics, and perception. John Wiley & Sons.

Sueur, J. (2018). Sound analysis and synthesis with R. Springer.