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- Developing music of different frequencies. Trigonometry is applied to various surprising areas, such as the musical industry. Developing and refining music is based on trigonometric functions, such as sine and cosine.
- Constructing magnificent architectural pieces. The elegant curves and arcs of bridges, the domes of large monuments, or even the foundation for the surface of a regular building, sine and cosine of mathematics are widely used in construction.
- Aircraft functioning. Aircraft designers and pilots are no exception when using trigonometric functions in real life. From designing, maintaining, and constructing to flying aircraft, sine and cosine plays a great role.
- GPS or Global Positioning System. GPS, or Global Positioning System, is a high-tech tool used to identify the location and position of objects. GPS can easily track where an object, such as a car, is and in which direction.
Sine, Cosine, Tangent Applications. The Sine, Cosine and Tangent functions are often applied to real world scenarios.
- Architecture & Construction
- Communications
- Day Length
- Electrical Engineering
- Flight
- GPS
- Graphics
- Land Surveying & Cartography
- Music
- Tides
Trig functions are used for architecture and construction in many different ways. Some of the uses include: 1. Building Height 2. Pitch of a Roof 3. Trusses & Supports Dartmouth College has an interesting article about how an old method to find the height of a point on a building is still used to this day. We can also use tangent to calculate the h...
Trig functions are also used in communications, such as radio waves and other signals. A radio wave can be described as sinusoidal, since it repeats periodically (just like a sine function) and has the same pattern over time. A sinusoidal function f(x) = Asin(Bx) can describe a radio wave. The amplitude, A, tells us how “tall” the wave is. A larger...
The day length (from sunrise to sunset) varies throughout the year, changing by a small amount each day. In fact, the amount that day length increases or decreases is not the same every day! The reason is that we can model day length with a sinusoidal function. This means that day length has a maximum and a minimum, and it increases or decreases at...
Trig functions also appear in electrical engineering. For example, the Impedance Triangle relates the Resistance (R), Reactance (X), and Impedance (Z) of a circuit. We can use a trig function to find the angle between R and X, depending on which values R, X, and Z we know.
Trig functions are useful in flight to determine the course a plane should take to arrive at its destination. Of course, the following factors must all be taken into account: 1. plane’s propulsion 2. plane’s weight(which changes during the flight as fuel is burned!) 3. wind speed 4. wind direction We would need to use vectors and trig functions to ...
GPS (global positioning system) uses trigonometry as part of a triangulation to find the position of an object on Earth (triangulation involves the Law of Sines). A GPS can calculate distance base on how long it takes for a signal to travel back to it (the signal travels at the speed of light, and distance equals speed times time).
Trig functions are also used often in computer graphics to determine the position of an object based on its speed (and its speed based on its acceleration). This is useful in video games, movies, and other applications. As in architecture, trig functions are used to break up a vector (velocity or acceleration) into its components (x and y direction...
Trigonometry also appears in land surveying and cartography (map making). For example, let’s say we want to find the distance across a river at a certain point. First, we mark our starting position. Next, we identify a stationary object across the river. Then, we mark a line between our starting position and the stationary object across the river. ...
Trig functions are also involved in music, although not in an obvious way. We can model a sound with a sine wave: 1. The frequency corresponds to the pitch(high frequency = high note) 2. The volume (loudness) corresponds to the amplitude of pressure(high pressure = high volume) When you hear (or play) music, you have something that can be expressed...
Similar to day length, we can also model tides using trig functions. Tides vary between low tide and high tide about every 6 hours (this means that the period is about 12 hours). The tide (which can be high, low, or somewhere in between) varies throughout the day, changing by a small amount each minute. In fact, the amount that the tide increases o...
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Mar 13, 2018 · Engineers rely on trigonometric relationships to determine the sizes and angles of mechanical parts used in machinery, tools and equipment. This math plays a major role in automotive engineering, allowing car companies to size each part correctly and ensure they work safely together. Trigonometry is also used by seamstresses where determining ...
- Emily Beach
What is sine, cosine and tangent? In this video I will explain these concepts using real life examples in a very practical and intuitive way. Knowing these c...
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- codebasics
Oct 16, 2017 · The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves. Calculus is made up of Trigonometry and Algebra. Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc.
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Dec 13, 2021 · [Read: Math in Everyday Life] Concepts and Examples of Trigonometry. At its core, trigonometry refers to the measurement of a triangle. As you may know, a triangle comprises six parts: three angles and three sides. Their names and acronyms are: Sine (sin) Cosine (cos) Tangent (tan) Cotangent (cot) Secant (sec) Cosecant (CSC)
