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Sound waves are transmitted through a medium as variations in the pressure of the medium. If the variation is plotted as a function of distance (or time), they will generate a sine curve (the cosine curve is the same as a sine curve with a phase shift). In practise, the sine curve is damped: the amplitude (or height) of the oscillations gradually decrease over time or distance, because of attenuation.
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What do engineers use trigonometry for?
Engineers use trigonometry anywhere that involves non-right angles. That includes building cars and buildings, bridges, and many other structures. they also use trigonometry when dealing with fields, like magnetic and electric fields. Also, trigonometry is very important with engineers who deal with waves, such as sound or light engineers.
Enumerate the applications of trigonometry of different fields?
Trigonometry is used in many jobs! Trigonometry is used in forestry(to calculate height of trees), A variety of Engineering jobs, Coast Guards and Flight Coordinators use Trigonometry with vector math to deal with movement through water/air currents. Carpenters need to know basic trigonometry. Any job dealing with any type of waves(sound waves, the pattern that the tide follows) has to know about Trigonometric Functions. I could keep listing jobs but the basics are: 1) any job that involves practical design(meaning not fashion design) 2) any job that requires basic physics or calculus 3) any job that requires basic high school math Trigonometry shows up everywhere, in order to be good with numbers, you have to be good with trigonometry
Why do acoustics need trigonometry?
When people are taught trigenometry in school it is usually just for finding the angles of a triangle. But the sine and cosine functions are actually waves if you were to draw them on a graph. Acoustics is sound waves, and by mapping sound waves into trigonometric waves we can do calculations on them like addition.
Can trigonometry be used in everyday life?
Yes !! Mathematics is a subject that is vital for gaining a better perspective on events that occur in the natural world. A keen aptitude for math improves critical thinking and promotes problem-solving abilities. One specific area of mathematical and geometrical reasoning is trigonometry which studies the properties of triangles. Now it's true that triangles are one of the simplest geometrical figures, yet they have varied applications. The primary application of trigonometry is found in scientific studies where precise distances need to be measured. 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.
What are applications of trigonometry in daily life?
Applications of Trigonometry in Real lifeTrigonometry is commonly used in finding the height of towers and mountains.It is used in navigation to find the distance of the shore from a point in the sea.It is used in oceanography in calculating the height of tides in oceansIt is used in finding the distance between celestial bodiesThe sine and cosine functions are fundamental to the theory of periodic functions such as those that describe sound and light waves.Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles.The various fields in which trigonometry is used are acoustics, architecture, astronomy (and hence navigation, on the oceans, in aircraft, and in space; in this connection, see great circle distance), biology, cartography, chemistry, civil engineering, computer graphics, geophysics, crystallography, economics (in particular in analysis of financial markets), electrical engineering, electronics, land surveying and geodesy, many physical sciences, mechanical engineering, machining, medical imaging (CAT scans and ultrasound), meteorology, music theory, number theory (including cryptography), oceanography, optics, pharmacology, phonetics, probability theory, psychology, seismology, statistics, and visual perception, education.
