• Author / Uploaded
• Janlie Gautane

Citation preview

“The Connection between Trigonometric Functions and Real Life mainly in the Medical Field”

Audrey Janelle Chua Janlie Charles Gautane

University of the East (Manila) Pre-Calculus Prof. Lyza Luchico-Bautista October 2019

TABLE OF CONTENTS

I.

INTRODUCTION

II.

BODY

III.

CONCLUSION

IV.

REFERENCES

I.

Introduction

You might read of this for a lot of times but trust me, students until now keep on questioning WHY, HOW and WHEN can we possibly use these branch of mathematics in our future life, such as Functions, Graphs, Algebras, Logs and many more.

A teacher once told me that math is a language, math is all around. Math is easy if you understand it not memorize it. It is indeed right! He also showed us the essence of learning Math, told us that we use this in real life though some may not be visible.

Trigonometry is a part of mathematics that reviews the connection amongst lengths and edges of triangles. "Trigonometry started as the computational segment of geometry. For example, one explanation of plane geometry expresses that a triangle is controlled by a side and two points. At the end of the day, given one side of a triangle and two points in the triangle, at that point the other different sides and the rest of the edge are resolved. Trigonometry incorporates the strategies for figuring those other different sides. The rest of the point is anything but difficult to discover since the total of the three edges rises to 180 degrees (normally composed 180°)"

The historical backdrop of trigonometry returns to as right on time as the second thousand years BC in Egyptian science (Rhind Mathematical Papyrus). The subsequent society to utilize trigonometry was the Babylonians (known for finding hypotheses and proportions). The improvement of present day trigonometry moved during the western Age of Enlightenment

(Isaac Newton and James Stirling).It was Leonhard Euler who joined complex numbers into trigonometry. In addition, Colin Maclaurin in the eighteenth century was essential in the improvement of trigonometric arrangement. Without Trigonometry and Sinusoidal Waves there would be a concession in the progressions of Cardiology, Neurology, and Pulmonology.

II.

Body

CT Scans and Medical Imaging In the medical, field, doctors make use of CT or CAT Scans or the Computed Tomography Scan. According to Wikipedia, a CT scan makes use of computer-processed combinations of many X-ray measurements taken from different angles to produce crosssectional (tomographic) images (virtual "slices") of specific areas of a scanned object, allowing the user to see inside the object without cutting.

The results where the CT Scan output is found in a Sino gram. It is the graph of the radon that transforms and looks like a series of blurred sine waves, each with different amplitudes and periods

Cardiology "Cardiology is the examination and treatment of clutters of the heart. It is a restorative claim to fame which is engaged with the consideration of all things related with the heart and the courses" (Nordist, 2013). The field incorporates therapeutic conclusion and treatment of intrinsic heart surrenders, coronary corridor infection, cardiovascular breakdown, valvular coronary illness, and electrophysiology. Doctors who have some expertise in this field of medication are

called cardiologists. Doctors who represent considerable authority in cardiovascular medical procedure are called heart specialists (Nordist, 2013).

An ECG or EKG is a significant machine in Cardiology. An EKG (electrocardiography) records heart action by power. Besides, an EKG demonstrates the speed of a heartbeat, the normality of a heartbeat, and the quality and timing of electrical flag as they go through each piece of your veins (Heart Disease Health Center 1). Specialists use EKGs to recognize and contemplate numerous heart issues, for example, respiratory failures arrhythmias, and cardiovascular breakdown. The test outcomes likewise can recommend different issue that influence heart capacities (Heart Disease Health Center 4). A Dutch Indies Inventor Willem Einthoven found the Electrocardiography machine in 1901 and got a Nobel harmony prize for his work in 1924 (A (not really) brief history of electrocardiography 4). The Electrocardiography machine records a diagram that speaks to Sine waves. The manner in which it does so is on the grounds that a heartbeat is repetitious it establishes a pace for a cycle. The cycle has an adequacy

and a period consistently and can have vertical and even move. The x-pivot of the diagram is time in milliseconds and the y-hub is spoken to by the voltage (adequacy). "Each1-mm-division on the even pivot is 40 ms; every 5-mm-division is 200 ms. Two 5-mm-divisions on the vertical pivot are aligned to speak to 1 mV. Orthopedics The whole musculo-skeletal framework reacts powerfully to stresses and strains applied to it. Reestablishing typical biomechanics adds to the ordinary capacity that guarantees that physiological burdens and strains are safeguarded. Proper preoperative arranging is required to reestablish ordinary biomechanics at reconstructive medical procedure. Compelling preoperative arranging relies upon the capacity to reproducibly make exact estimations of lengths and edges from plain radiographs. Estimation has turned into a vital piece of orthopedics to characterize morphological variation from the norm, to get ready for recreation and for near research. The most pervasive strategy for estimation is normally founded on lines drawn on radiographs with no precise reference to the genuine geometry of the structures. This twodimensional projection of an awry three-dimensional structure prompts error and subsequently to a trade off in the general exactness of numerous methods. Likewise it is additionally hard to screen the movement of sickness as the definite relationship of the bones and joints to one another, and to prosthetics, can't be precisely recorded. (Dymond, Asforth, Dymond, Sprirakis, & Learmoth, 2013)

III.

Conclusion It is delusional to think that there are things that are only taught yet not used,

especially assuming that other things in math have no purpose in real life, because everything that is allowed to be taught are also taught to be used in the real world. Lives can be saved by mathematics like trigonometric functions; it may be in medicine like sinusoidal waves, in measuring distance, in travelling, even reading and studying about earthquakes seismographic record. Flattering it may be to find out that things are not always how they are perceived by other, because they are not only used in the Medical field, mind you that the teachings in math is universal, it is used also in the field of engineering, infrastructure, business, statistics, computers, aeronautics, astronomical experiments, and etc. Limitless possibilities are encountered in the world of math, there are no gaps, for a reason a bridge is connecting from its world and our world and by this report we hope that we added a greater peripherals about mathematics.

The techniques in trigonometry are used for finding relevance in navigation particularly satellite systems and astronomy, naval and aviation industries, oceanography, land surveying, and in cartography (creation of maps). Now those are the scientific applications of the concepts in trigonometry, but most of the math we study would seem (on the surface) to have little real-life application. So is trigonometry really relevant in your day to day activities? You bet it is. Let's explore areas where this science finds use in our daily activities and how we can use this to resolve problems we might encounter. Although it is unlikely that one will ever need to directly apply a trigonometric function in solving a practical issue, the fundamental background of the science finds usage in an area which is passion for many - music! As you may be aware sound travels in waves and this pattern though not as regular as a sine or cosine

function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means that sound engineers and technologists who research advances in computer music and even hi-tech music composers have to relate to the basic laws of trigonometry. (10 everyday reasons why Trigonometry is important in your life).

The role of trigonometric functions is crucial in the vast medicine field, our shared knowledge and facts that they are very useful are only parts of a whole of the history of accompaniment of human health and mathematics. Thus we should take everything seriously, saving lives is not a joke neither the study of such arithmetic student, complex it may be, yet important. Every single day advances to another, in sometime nearer we often would need to use these in daily life, we use these common to advance not to hinder ourselves in getting a better life, and better health.

In conclusion we can infer that trigonometric functions really do have a big use in medical field and in other fields of our life. We may not immediately see how useful it is but if we dig deep enough there we can see its essence.

Bibliography 10 everyday reasons why Trigonometry is important in your life. (n.d.). Math Worksheet Center. Retrieved from http://www.mathworksheetscenter.com/mathtips/trigonometry.html Dymond, I., Asforth, J., Dymond, G., Sprirakis, T., & Learmoth, I. D. (2013). The usage of image trigonometry in bone measurements. The journal of clinical and experimental research on hip pathology and therapy. Retrieved from https://www.semanticscholar.org/paper/The-usage-of-

image-trigonometry-in-bone-DymondAshforth/09c1cdf52c8ff2709e2beb03a3420ee08d7d44a4#paper-header Nordist. (2013). Trigonometry and Medicine. (T. Graham, Ed.) Relations of Trig Functions in Real Life. Retrieved from https://prezi.com/kdrzbkm8yuye/trigonometry-and-medicine/