There are many different ways of how trigonometry applies to the real world. For example, some occupations that use trigonometry on an everyday basis are astronauts, physicists, architects, surveyors, crime scene investigators, and engineers. In history, trigonometry can be traced all the way back to about 4,000 years ago. Another example of how we apply trigonometry on an everyday basis is technology and music. Sound navigates through waves and this style is still not as formal as a sine or cosine capacity, but it is effective in advancing computer music. The computer part of the computer music represents mathematics in the sound waves. Trigonometry can also be used in video games, constructions, flight engineering, marine biology, navigation,
He found the first “reliable figure” for π(pi) (Source A). In ancient Greece, the crude number system was very inefficient, and Archimedes made it easier to understand and count to higher numbers (Source B). Finally, he used the first known form of calculus while studying curved surfaces under Euclid, not to be later worked on for 2,000 years by Isaac Newton (Source A).
The understanding of mathematics also led them to advancements in astronomy and mapmaking. Document 5 states, “They used astrolabe (figure A) and the armillary sphere (Figure B) to study the skies and make calculations for their calendars and maps.” The two advancements mentioned in the evidence are both still
We know this is not true in Euclidean geometry since all triangles have the same angle sum of 180°. Finally, Hyperbolic has some practical applications in our 3-dimensional world. Examples of these applications include art and the design of many practical things. Many artists have used Hyperbolic geometry to make art on the circular plane as mentioned before.
Aside from religious uses, astronomy was used as a tool for navigation. The astrolabe, an instrument which calculated the positions of certain stars in order to determine direction, was invented by the Greeks and adopted and perfected by the Arabs. One of the greatest Islamic astronomers was al-Khwarizmi, who lived in the 9th century and was the inventor of algebra. Al-Khwarizmi performed detailed calculations of the positions of the Sun, Moon, and planets, and did a number of eclipse calculations. He constructed a table of the latitudes and longitudes of 2,402 cities and landmarks, forming the basis of an early world map.
One outside application would be a bicyclist. This is because, if they speed up they are going a farther distance, and if they slow down they are going a shorter distance. No matter the speed/distance the velocity stays the same. It can be concluded that velocity is the slope of a position versus time graph. This is proven by looking at the slope of the graph.
Ancient Greeks and their use of mathematics to construct siege weapons and artillery. Stephen Devenney L00117389 L00117389@student.lyit.ie 1 Introduction Ancient Greece was a time of innovation. Their findings in multiple areas of technology established an age of science where numerous discoveries contributed to modern day discoveries and inventions. Examples of these would include the alarm clock which was invented by Ctesibius who was a Greek engineer, physicist and mathematician (Oleson 2009, p.753). The device worked by dropping peddles onto a gong at a set time.
Computers are used to functions that would take humans a long time to work out. They make work easier to accomplish. It can be used to show how much gas is used in a vehicle with different amounts of speed and weight. In the story Cold Equations written by Tom Godwin, a girl is a stowaway on a EDS. There wouldn't be enough gas to get to the destination with her added weight.
Music is a large part of our daily lives. You hear it in the car, at a restaurant, in the mall and on television. Fortunately, it is truly inescapable. Music is art that is meant to tell stories, trigger emotions and describe experiences. It is commonly scaled by rhythm, timbre, pitch, harmony and tempo.
His log was based to assist in the multiplication of quantities that were then called sines. Sines was the value of a right angled triangle with a large hypotune of 10 with a power of 7.
In ancient times there was usually inaccurate calculations but with the invention of trigonometry, it allowed for some questions to be able to be answered accurately even if the numbers were very large because all the calculations could be based on ratios where the degree and magnitude are determined. Overall these calculations accuracy is usually due to Pythagoras theorem which has been shown to be the base for all of the trigonometric functions and since the calculations are done with high angled triangles it then solved most of the major issues. References: 1. Pythagoras’ Theorem. (n.d.).
This form of math was created by Al-Khwarizmi, he studied Indian sources and later wrote a textbook about this type of math (Document 4). Muslim scholars also made many advances in trigonometry, astronomy and mapmaking. They developed ways to study astronomy and to create maps, by using trigonometry and other forms of math (Document 5). There was also great advances in science, science was used in many different parts of Islamic culture, such as religion were "The faithful... relied on" "astronomers to calculate the times of prayer and the direction on Mecca" (Document 1). Scholars also used astrolabes and armillary sphere 's in order to study the skies, so that they could "make calculations for their calendars and maps" (Document 5).
According to ehow.com : “Architects often use a compass and straightedge to aid in drafting their designs...architects can moreaccurately determine real-world proportions for their scaled drafts.” Ehow.com also stated that artists use a compass and straightedge when trying to make circles for horizons or straight lines. National Cathedral in Washington D.C. Raphael - Disputa
But the construction of these architectural landmarks was not easy to make, there was a prerequisite of some form of advanced math and geometry. But they used math for other things as well such as, numbers to keep track of business transactions. The Ancient Egyptians were the first
Scientists and mathematicians such as Leonardo Da Vinci and Luca Pacioli have created extensive research on the topic most notably in Da Vinci’s artistic piece “The Divine Proportion” where Da Vinci used the “Golden Ratio” to apply to nature and humanistic aspects of life. The first time that I discovered The Golden Ratio was in a book called Math and the Mona Lisa written by Bülent
Listening to music gives humans huge amount of benefits towards their personal life. A lot of students listen to music to, help reduce stress, boost up their mood and provides motivation in their daily life. Music is an art of sound in time that expresses ideas and affection in significant forms through the components of rhythm, melody, harmony, and colour. Some students use music to overcome the emotional effects of stress or anxiety when engaged in their leisure time, such as studying for a test or quiz, completing homework or assignments that they were given by teachers or lecturers, or while reading and writing. Most of the student choose to listen to their favorite genre of music when they study or do their homework without understanding