Monday, September 6, 2010

Week 2 Blog Prompt

What types of things can the graphs of sine and cosine be used to model in the real world? Give an example. **Be sure to cite if you use a source!**

12 comments:

  1. What I found a few things that sin and cos can be used to model in the real world. Surveying, navigation and astronomy all rely on sin and cos for the position of objects and other calculations. Music is composed of waves of different frequencies and amplitudes and these can be described by using sin and or cos. Space flight relies on calculations and conversions to polar coordinates and so does satellites. GPS and cellphones rely alot on formulas that involve sin and or cos. Signal transmission, TV and radio broadcasting, involves waves described with sin and cos waves.
    Example:Let's say you've got a bullet lodged into a wall. It's in there at a certain angle. Now imagine that this bullet came from a sniper's rifle. By measuring the height of surrounding buildings, the elevation of the bullet on the wall, and distances to and from possible roof levels of other buildings, you can use Trigonometry to figure out where the sniper was.Or you can rotate a sine function with bounds from limit "a" to limit "b," rotate it around an axis, and get a volume for a sine-shaped random volume.

    Are Real-life Applications of the Sine and Cosine Wave Applications? - Yahoo! Answers." Yahoo! Answers - Home. Web. 08 Sept. 2010. .

    Eyes on Final Fantasy Forums - Powered by VBulletin. Web. 08 Sept. 2010. .

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  2. HI!!! ITS TAYLOR JUST IN CASE YOU DIDN'T KNOW AND NOW I'M BORED LOL!

    This is what I found that sine and cosine can relate to in the real world. I learned that some things, like navigation and astronomy, use sine and cosine to find an objects location and some other calculations. I also found out that sine and cosine can even be related to music. You see music is made of many kinds of frequencies and amplitudes that are actually described by using sine and cosine. I was also told that anything that involved sound waves actually relies on cosine and sine to describe it. For instance your GPS and your cell phone both of them use sound waves and those both of them need sine and cosine for triangulations and formulas. Even your own TV and radio rely on cosine and sine because of their signal transmission, which can be described as sine and cosine. Even flights into space and satellites rely on cosine and sine for calculations. These are some of the things that I learned that rely on Cosine and sine for information or to describe it in the real world.

    Example: Ok say that you want to call your friend on your cell phone. Where ever you are is point A on a graph while where ever your friend is point B on a graph. Your signals are triangulated using sine or cosine to a certain degrees and then you will be able to communicate with your friend. The sine or cosine are found by using longitudes and latitudes as your graph and all you have to do is plug in the numbers!!! (That’s my theory any way)

    What are real-life applications of the sine and cosine wave applications?. Yahoo Answers
    8-9-10 http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

    (I forgot how to cite T_T)

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  3. I found that types of things the graphs of sine and cosine be used to model in the real world. For an example, music is composed of waves of different frequencies and amplitudes and these can be described using sin/cos. Actually anything involving sound waves will rely on sin/cos. In Geology, earthquakes are modeled using the wave equation that are solved by using the sum of sin and cosine. If you are designing a building, you would want it to resist wind and earthquakes. The effect on the waves of the building is modeled often using sine and cosine to stimulate wind and earth motion. For radio communications it is based on the combinations uses of sine and cosine waves. If you want to measure a heart beat, breathing,or other body function you can use medical equipment which uses sine and cosine. And those above are the examples of sine and cosine that can be used in the real world.

    Citation:
    http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

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  4. "Many compression algorithms, like JPEG use fourier transforms that rely on sin and cos.

    Surveying, navigation and astronomy all rely on sin and cos for the position of objects and other calculations.

    Music is composed of waves of different frequencies and amplitudes and these can be described using sin/cos. In fact most anything involving sound waves will rely on sin/cos.

    Ballistic trajectories rely on sin/cos, and there are numerous other uses of them in physics.

    Space flight relies on calculations and conversions to polar coordinates. So do satellites.

    GPS and cellphones rely on triangulation and formulas involving sin/cos.

    Signal transmission, e.g. TV and radio broadcasting, involves waves described with sin/cos waves.

    There are lots of things to choose from, so do a little bit of research into the topics that interest you most."(yahoo)


    http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

    straight from the site, but I forgot how to site it sooooooooo, yea, here's the link, i read it and sin and cos must be very important.
    good stuff.
    bye

    ReplyDelete
  5. I found many ways that sin and cosine can be used in the real world. All the stuff it said that uses cosine and sin is stuff that I use almost everyday and stuff that I never knew used anything to do with math. These are some of the examples that I found that used sin and cosine.

    1. Building design

    Buildings need to be designed to resist wind and earthquakes. The effect of waves on buildings is often modeled using sine and cosine to simulate wind and earth motion.

    2. Music

    Music is composed of waves of different frequencies and amplitudes and these can be described using sine and cosine. In fact most anything involving sound waves will rely on sin and cosine. 122

    3. Thermal analysis

    The heat equation is used to model how things get hot (electronics, spacecraft, and ovens,) This equation is usually solved using sums of sine and cosine.

    4. Signal Processing

    The whole area of digital signal processing, which is used for HDTV and digital audio, is based on using sums of sine and cosine.

    That is all the things that I learned that they use some type of form of sine and cosine for in the real world. It amazed me how a lot of the stuff we used involved math.


    Citation
    http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

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  6. Sin and cos are used in many ways in the real world and that came as a shock to most of us. Here are some examples of what sin and cos do.

    Surveying, navigation, and astronomy involve sin and cos because it deal with the position of the object.
    Most things that are involved with the use of sound waves rely on sin and cos. The different frequencies and amplitudes of music can be described using sin and cos.
    The study of Physics also uses sin and cos,and the most popular way is through ballistic trajectories.
    Sin and cos are also involved with the triangulation and formulas of GPS and cellphones.
    Space flight relies on calculations and conversions to polar coordinates. So do satellites.
    Signal transmission such as TV, and radio broadcasting, involves waves described with sin and cos waves.

    That's about it. I didn't realize that you actually use this stuff outside of school. So yeah, I guess I learned something.
    This is Nathan and I forgot how to cite.

    Citation:http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

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  7. Sine and cosine graphs are used in many situations in the ‘Real World’.

    They are used to measure different things, such as: electronics, the intensity of the UV rays, populations in different areas, sound waves, growth of plants, animals, and humans, waves in water, acoustics, and engines.

    They are also many jobs that use the sine and cosine trigonometry function graphs. Most are professional. There are computer and mathematic jobs, (engineers of computer software and mathematicians). All engineers use these graphs for their jobs, whether it’s aerospace, chemical, nuclear, or environmental engineers. Some other occupants of these methods are scientist (life and physical), educators, and technicians.

    Even jobs that aren’t so popular anymore use these methods. In Louisiana, we have many sugarcane, rice, and tobacco farmers; but all over the country they use these graphs. Especially the logging businesses.

    Those working in construction also use the graphs (mostly the electricians).

    Those in repair and/or installation jobs also use this. Mechanics, installers, and those who repair goods use these graphs often to get the job down right.





    http://www.intmath.com/Trigonometric-graphs/Trigo-graph-intro.php

    http://www.xpmath.com/careers/topicsresult.php?subjectID=4&topicID=14

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  8. There are many ways in which sine and cosine can be used in the real world. Space flight relies on calculations and conversions to polar coordinates. So do satellites. GPS and cellphones rely on triangulation and formulas involving sin/cos. Signal transmission, e.g. TV and radio broadcasting, involves waves described with sin/cos waves. Surveying, navigation and astronomy all rely on sin and cos for the position of objects and other calculations. Music is composed of waves of different frequencies and amplitudes and these can be described using sin/cos. In fact most anything involving sound waves will rely on sin/cos. Ballistic trajectories rely on sin/cos, and there are numerous other uses of them in physics.

    citation:http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

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  9. No good can come out of using math to model things in the real world. It just makes it complicated.

    Anyway, there are quite a few actually.

    1. Electronic communication

    Most radio communication is based on the use of combinations of sines and cosine waves.

    2. Thermal analysis

    The heat equation is used to model how things get hot (electronics, spacecraft, ovens, etc). This equation is usually solved using sums of sines and cosines.

    3. Signal Processing

    The whole area of digital signal processing, which is used for HDTV and digital audio, is based on using sums of sines and cosines.

    4. Geology

    Earthquakes are modeled using the wave equation, which is frequently solved using sums of sines and cosines.

    5. Building design

    Buildings need to be designed to resist wind and earthquakes. The effect of waves on buildings is often modeled using sines and cosines to simulate wind and earth motion. These simulations determine how the buildings oscillate, which is also modeled by sines and cosines.

    Here's the link.
    http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

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  10. Sine and cosine are used to model multiple things in the real world today. Many students ask there teachers “what do we need this stuff for?” and the truth is, we need it for a lot of things. One thing that uses sin and cos is JPEG; it uses Fourier transforms that rely on it. Surveying, navigation, astronomy all need sine and cosine for the positioning and calculating of objects. Anything involving sound waves rely on sin and cos, like music. Something called Ballistic trajectories need sin and cos also. Satellites and space flights rely on calculations and conversions to polar coordinates. Other things that rely on sine and cosine are GPS’s, cell phones, signal transmissions, TV, and radio broadcasting. So, there you have it, sine and cosine are needed in the real world.

    i have no idea how to site this, one day i'll learn. okay, bye

    http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

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  11. There are several ways that sine and cosine can be used to model things in everyday life, such as: wave lengths, Geology, electrical communication, building designs, and Medical equipment.


    - Wave lengths: Wave lengths usually follow the same patterns. When a wave starts, the chain reaction of waves afterwards looks almost identical.
    - Geology: When an earthquake occurs, the seismograph measurements look like a sine or cosine graph.
    - Electrical Communications: Radios, cellphones, and telephones all use electrical communications. When you represent the sound patched through the phones on a graph, it could possibly look like a sine and cosine graph.
    - Building Designs: When creating a design for a building, it needs to resist earthquakes and other inclement weather. The graphs of sine and cosine resemble the effect waves of earth and wind motion toward the building.
    - Medical Equipment: When measuring heartbeat, breathing, and other cyclical body functions, the graphs of the medical equipment resemble the sine and cosine graphs.

    These are just a couple examples of how sine and cosine can be used to model objects in everyday life.

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  12. Yay! Sine and cosine can be used outside of B-rob's class room! These are a few things I found that they can be applied too.

    "1. Electronic communication
    Most radio communication is based on the use of combinations of sines and cosine waves.

    2. Thermal analysis
    The heat equation is used to model how things get hot (electronics, spacecraft, ovens, etc). This equation is usually solved using sums of sines and cosines.

    3. Signal Processing

    The whole area of digital signal processing, which is used for HDTV and digital audio, is based on using sums of sines and cosines.

    4. Geology

    Earthquakes are modeled using the wave equation, which is frequently solved using sums of sines and cosines.

    5. Building design

    Buildings need to be designed to resist wind and earthquakes. The effect of waves on buildings is often modeled using sines and cosines to simulate wind and earth motion. These simulations determine how the buildings oscillate, which is also modeled by sines and cosines."

    http://answers.yahoo.com/question/index?qid=20080229094444AAyHIl4

    Citation fail, sorry about that...

    ReplyDelete