Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Please consider supporting me on Patreon! Be a Patron of Mathematics! https://www.patreon.com/patrickjmt?ty=h
Where Do These Values Come From? https://www.youtube.com/watch?v=3GgO7Q_kg8Q
Trigonometry Review Questions With Solutions Made by Me! http://www.teacherspayteachers.com/Product/Trigonometry-Review-Questions-and-Solutions
How to Derive the Values on the Unit Circle http://www.youtube.com/watch?v=3GgO7Q_kg8Q
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Thanks for watching and please subscribe! Visit PatrickJMT.com and ' like ' it! :)
A way to remember the Entire Unit Circle for Trigonometry. This is the way that I remember the unit circle.

Views: 1941724
patrickJMT

I. Graphing and Coding Constant function f(x)=2 : [Starts at: 00min:00sec]
II. Graphing and Coding Linear function f(x)=x : [Starts at: 05min:52sec]
III. Graphing and Coding quadratic function f(x)=x * x : [Starts at: 07min:58sec]
IV. Understanding angles in degrees and radians : [Starts at: 16min:14sec]
V. Converting angles from degrees to radians vice versa: [Starts at: 22min: 54sec]
I. Graphing and Coding Constant function f(x)=2 : [Starts at: 00min:00sec]
Example Code:
using UnityEngine;
public class FunctionsDemo : MonoBehaviour {
// f(x) = 2 : Constant function
void Start () {
// domain
int[] x = {-3,-2,-1,0,1,2,3};
//range
int[] y = {0,0,0,0,0,0,0};
for (int i = 0; i < x.Length; i++)
{
y [i] = f (x [i]);
Debug.Log (string.Format ("X={0} and Y={1}", x [i], y [i]));
}
}
int f(int x)
{
return 2;
}
}
Output:
x = -3, -2, -1, 0, 1, 2, 3
y = 2, 2, 2, 2, 2, 2, 2
Note:
To move a game object horizontally or vertically,
we use constant function
II. Graphing and Coding Linear function f(x)=x : [Starts at: 05min:52sec]
Example Code:
using UnityEngine;
public class FunctionsDemo : MonoBehaviour {
// f(x) = x : Linear function
void Start () {
// domain
int[] x = {-3,-2,-1,0,1,2,3};
//range
int[] y = {0,0,0,0,0,0,0};
for (int i = 0; i < x.Length; i++)
{
y [i] = f (x [i]);
Debug.Log (string.Format ("X={0} and Y={1}", x [i], y [i]));
}
}
int f(int x)
{
return x;
}
}
Output:
x = -3, -2, -1, 0, 1, 2, 3
y = -3, -2, -1, 0, 1, 2, 3
Note:
To move a game object diagonally,
we use linear function
III. Graphing and Coding quadratic function f(x)=x * x : [Starts at: 07min:58sec]
Example Code:
using UnityEngine;
public class FunctionsDemo : MonoBehaviour {
// f(x) = square(x) : Quadratic function
void Start () {
// domain
int[] x = {-3,-2,-1,0,1,2,3};
//range
int[] y = {0,0,0,0,0,0,0};
for (int i = 0; i < x.Length; i++)
{
y [i] = f (x [i]);
Debug.Log (string.Format ("X={0} and Y={1}", x [i], y [i]));
}
}
int f(int x)
{
return x * x;
}
}
x = -3, -2, -1, 0, 1, 2, 3
y = 9, 4, 1, 0, 1, 4, 9
Note:
To move a game object upward like a smoke,
we use quadratic function
IV. Understanding angles in degrees and radians : [Starts at: 16min:14sec]
if game object x=+ve and y=0, we can say it is at 0 degree or 360 degree
if game object x=0 and y=+ve, we can say it is at 90 degree
if game object x=-ve and y=0, we can say it is at 180 degree
if game object x=0 and y=-ve, we can say it is at 270 degree
Note:
0 degree = 0 radians
90 degree = pi/2 radians
180 degree = pi radians
270 degree = 3pi/2 radians
360 degree = 2pi radians
V. Converting angles from degrees to radians vice versa: [Starts at: 22min: 54sec]
a) Degree to radian:
180 degree * (Pi radian /180 dedegree) = pi radian
Example Code:
Debug.Lo( 180 * Mathf.Deg2Rad); // 3.142
b) Radian to degree:
pi radian * (180 degree / pi radian) = 180 degree
Example Code:
Debug.Lo( Mathf.PI * Mathf.Rad2Deg); // 180
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Chidre'sTechTutorials

Great hands on project for any Trig class. Get the students out of their seats and make something to solidify their understanding of trigonometry.
Trig the ultimate fraction application.

Views: 8089
ColfaxMath

More 12d Model help videos and the online help documentation can be found at http://www.exds.com.au/Supportingyou/OnlineHelp/12d_Model_Super_Alignment_1_IP.aspx

Views: 197
12dTrainer

Get Your Crash Course Physics Mug here: https://store.dftba.com/products/crashcourse-physics-mug
Bridges... bridges, bridges, bridges. We talk a lot about bridges in Physics. Why? Because there is A LOT of practical physics that can be learned from the planning and construction of them. In this episode of Crash Course Physics, Shini talks to us about a particular mistake made in engineering the Millennium Bridge which allows us to talk about simple harmonic motion.
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Views: 491093
CrashCourse

Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
Hi again everyone. In this video we are going to continue our introduction to complex numbers
and in particular we are going to sketch a region in the complex plane. Now let us motivate our
study, why are complex numbers important? Well, complex numbers is basically an extension of
the real numbers you saw at school,and as I have mentioned in previous videos complex
numbers, although quite abstract, they find useful applications in many many places in science,
engineering and technology. So here I have listed a few, and basically a good understanding of
how to work with complex numbers, in this case how to sketch regions, well this knowledge then
gives us the power to solve more interesting, challenging and important problems. 00:00-00:59.
So todays video is very basic and we can look at this particular example:sketch the region in the
complex plane defined by all those complex numbers 'z' that satisfy the following inequalities.
Okay well, I am going to discuss the general case first and then we are going to solve this
particular problem. 01:00-01:18.
So suppose 'z nought' is a complex number, 'a' is a positive real number and α and β, (I guess
I really should have a less than here) and α and β are real numbers that are between -π and
π. Well, this will represent a wedge in the complex plane now I am using the term wedge very,
very loosely there. Let me give you a picture and you will see what I mean. So here is our axes.
Right so, first we move to 'z nought', so it is here, and we draw a circle around 'z nought' with
74
radius a. Okay alright, so what we would like to do is include all those complex numbers that
surround the point 'z nought' within this radius and let us bring this condition into play well, draw,
consider a horizontal line that is parallel to the real axis. We want to rotate, I guess, between
the angle α and β so we are just going to assume that α is negative in this case and β is
positive. So our region is somewhere in here. 01:19-03:25.
Now we have to be a bit careful because here I have got a strictly less than, so actually I am
going to put some dotted lines in there and the other places we have less than or equals to, so
we can actually include those edges. So here is our general region of interest, so we do not
include this edge here and you can see I have put in some dotted line there. Okay, well our
problem is similar but you see I have got a strictly less than here, so I would change this edge
to a dashed edge because I do not include that edge. So let us have a look at c and see what
we can do here now, just before we do that you can see, well if α is -π and β is positive π, well,
this will extend all the way around there and β will β will extend all around there so we
actually get a disc. So you can see how I am using the word wedge quite liberally there. so for
our problem 'z nought' equals 2i, a equals 1, α equals 0 and β equals 3 π/4. So let us construct
our wedge and put it all together. 03:25-05:06.
Alright, so let us go up to 2i and draw a circle around 2i with radius 1. So notice I am not going
to include the edge here so I am going to draw a dotted line. Okay, alright so let us look at our
angles now so in this case α is 0 so I can just go straight here because remember I draw what I
consider a horizontal line and I want to rotate. Okay so the first condition says that I do not do
any rotation. The second conditions I rotate around 3 π/4 radians, and because I have less
than or equals to I do not need to draw dotted line here. So basically I want to show you that
there is an angle π/4 radians down here. Okay, so where is our region? Well, it will be in here.
So we have not included this edge, we have included that edge but we do include this edge
here. Okay so let us look at the bigger picture. 05:06-06:53.
The first piece of information is that do not be daunted when trying to graph this complicated
regions. it is slow at first but but you need to work through the problem systematically and with
some practice you will recognize the mathematical expressions for regions in the complex
plane very quickly. Now a good idea, if you have time is after you come up with your region, test
one or two points in the region to see if they possess the desired property. So for example, I
could choose the points say, 2.5i which just lies there and then test these inequalities to see if
they hold just as a backup. 06:54-07:31.
Now I am going to leave you with a couple of examples that I want you to try. it is important
when you watch this video just do not watch the video and be passive and expect that you can
understand everything. The important way to understand mathematics is to do mathematics so,
have a go at these problems sketch the regions in the complex plane associated with these
conditions and enjoy! 07:32-08:00.

Views: 57321
Dr Chris Tisdell

Second semester of Classical Physics avail FREE with lectures, assignments, quizzes/Tests, discussions, G+ Hangouts @ World Mentoring Academy(a MOOC) http://worldmentoringacademy.com/www/...
Help make Foreign Language CC's:
Dr. Lewin's complete MIT physics lectures, now on the YouTube channel World Mentoring Academy(a MOOC)
This video was first published on the YouTube channel MIT OpenCourseWare under the title "Walter Lewin Promo" in 2007.
Attribution: MIT OpenCourseWare
License: Creative Commons BY-NC-SA 3.0 US
To view a copy of this license, visit http://creativecommons.org/licenses/b....
More information at http://ocw.mit.edu/terms/.
This YouTube channel is independently operated. It is neither affiliated with nor endorsed by MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin.

Views: 125
Michael Williams

A description of Simple Harmonic Motion, including its definition, and examples of SHM in the form of oscillating springs and pendulums.

Views: 173270
DrPhysicsA

In this video David explains the equation that represents the motion of a simple harmonic oscillator and solves an example problem. Created by David SantoPietro.
Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/period-dependance-for-mass-on-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/definition-of-amplitude-and-period?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
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Views: 129085
Khan Academy Physics

Geometry Teachers Never Spend Time Trying to Find Materials for Your Lessons Again!
Join Our Geometry Teacher Community Today!
http://geometrycoach.com/Geometry-Lesson-Plans/?pa=MOOMOOMATH
How do you use the arc length of a circle to find the diameter of a circle?
We will look at some application problems using sector area and arc length
A pie is cut into 6 equal pieces. The arc length of one piece of pie is 5.4 cm. What is the diameter of the pie?
So our strategy is to always draw a picture.
Let's start by drawing a picture of the pie and assume it is a circular pie. Let's draw 6 equal pieces. If we have 360 degrees divided by into 6 pieces our central angle is going to be 60 degrees. This gives you an idea of what we are working with. What we will do is use a " Proportion Method" to find the circumference, and then use the circumference to calculate diameter.
The proportion method it works like this. We take the arc length and put it over the circumference and set it equal to measure of the angle over 360 degrees. So let's plug in what we know. The arc length equals is 5.4 and we don't know circumference which will become x, and angle measure equals 60 degrees.
We then cross product1 times x and 6 times 5= 32.4 which equals my circumference.
Next we can work backwards to find the diameter.
Circumference = Diameter times Pi which is 32.4. So I will take 32.4 and divide it by Pi and I get 10.31
The pie's diameter is 10.31 centimeters.
That is how you use the arc length to find diameter of a circle.
You may also enjoy...
Circles Radius Diameter & Pi Math Learning Upgrade
https://www.youtube.com/watch?v=eiHWHT_8WrE
Diameter of a Circle Calculate diameter given circumference
https://www.youtube.com/watch?v=XGYqyYz29zo
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Please watch: "Study Skills Teacher's Secret Guide to your Best Grades"
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MooMoo Math and Science

QUICK LINKS
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Extel Academy, has over a decade of experience and has counseled more than half a million students of Higher Secondary. We have trained thousands of Students, and believe that there is absolutely no match for us in the industry.
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Join us and you are in safe hands
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Extelacademy

In this video David explains how a phase constant can be used in order to shift the graph of an oscillator left or right. Created by David SantoPietro.
Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/pendulum?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/period-dependance-for-mass-on-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 66785
Khan Academy Physics

How to measure for an elliptical archway is a short video demonstrating how to gather the key measurements needed before placing an order with www.archwaysandceilings.com

Views: 3685
Archways & Ceilings

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force combined with the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. The period depends on the length of the pendulum, and also to a slight degree on the amplitude, the width of the pendulum's swing.
From its discovery in around 1602 by Galileo Galilei, the regular motion of pendulums was used for timekeeping, and was the world's most accurate timekeeping technology until the 1930s. Pendulums are used to regulate pendulum clocks, and are used in scientific instruments such as accelerometers and seismometers. Historically they were used as gravimeters to measure the acceleration of gravity in geophysical surveys, and even as a standard of length. The word 'pendulum' is new Latin, from the Latin pendulus, meaning 'hanging'.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

Views: 356
Audiopedia

The decision about the number of obligatory radio expanders is a significant part of the wireless system projecting process.
The connection quality calculator is a tool to solve this problem.
Follow the further instructions:
Step 1
Place the detectors on the plan according to the project.
Step 2
Choose the group of the detectors to be controlled by an expander.
Step 3
Set an expander on the plan (as close to the center of the detectors group as possible)
Step 4
Choose the most remote detectors from the expander. There are 4 detectors on our example plan: 1, 2, 3, 4.
Step 5
Determine the radio communication conditions.
Measure the distance between the expander and the farthest detectors.
Count the number of walls between the expander and detectors.
Measure the angles between the walls and radio line.
Step 6
Start the connection quality calculator tool.
Enter data to the program: distance between devices, material and number of walls and angles between the walls and radio line.
The connection quality calculator tool.
Enter the first detector parameters:
The distance to expander is 15 meters, wall material is gas concrete.
The angle between the first wall and radio line is 60 degrees.
Second wall angle is 60 degrees.
Third wall angle is 30 degrees.
The result: value of connection is 4.
The second detector parameters:
The distance is 20 meters, wall material is gas concrete.
The angle between first wall and expander is 60 degrees.
The third angle is 30 degrees.
The result: value of connection is 4.
The third detector parameters:
The distance is 25 meters, wall material is gas concrete.
The angle between the first wall and expander is 90 degrees.
Second wall angle is 45 degrees.
The result: value of connection is 5.
The fourth detector parameters:
The distance is 18 meters, wall material is gas concrete.
The number of walls between expander and detector is five.
Enter the angles between walls and the radio line.
The result: value of connection is 2. Recommended value of connection is 4.
We can make the conclusion that there is no connection between the expander and detectors.
It is necessary to choose another group of detectors and change the location of the expander.
Repeat steps from 2 to 6.
Step 2
Choose a new group of the detectors to be controlled by an expander.
Step 3
Set an expander on the plan (as close to the center of the detectors group as possible)
Step 4
Choose the most remote detectors from the expander. There are 4 detectors on our example plan: 1, 2, 3, 4.
Step 5
Determine the radio communication conditions.
Measure the distance between the expander and the farthest detectors.
Count the number of walls between the expander and detectors.
Measure the angles between the walls and radio line.
Step 6
Enter data to the calculator: the distance between devices, the material and number of walls and angles between the walls and radio line.
The value of connection for the first detector is 5.
The value of connection for the second detector is 4.
The value of connection for the third detector is 5.
And value of connection for the fourth detector is 4.
Each detector has value of connection not less than 4.
The location of the expander is correct.

Views: 322
Аргус-Спектр

For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.
Fundamentals of Physics, II (PHYS 201)
Young's double slit experiment shows clearly that light is a wave. (In order to observe the wave behavior of light, the slit size and separation should be comparable or smaller than the wavelength of light.) Interference is described using real and complex numbers (in anticipation of quantum mechanics). Grating and crystal diffraction are analyzed.
00:00 - Chapter 1. Revisions to Geometric Optics
08:20 - Chapter 2. Young's double slit experiment
50:52 - Chapter 3. Interference and Diffraction of Light
Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses
This course was recorded in Spring 2010.
For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.

Views: 151755
YaleCourses

End of Year projects in sixth grade are open ended, allowing students to pick a topic that they would like to explore on the own. Since students are given little guidance, they are allowed the freedom to find ways that work and don’t work, and see the importance of planning. Mr. Holloway takes you behind the scenes for his End of Year Math projects. Read more here: http://powhatanschool.org/pulse/in-the-classroom/end-year-math-projects/
interested in more math videos:
Algebra I Class | Concussion Testing and Standard Deviation: https://youtu.be/jo1Im4E_HDQ
Geometry Class | Field Day Overview: https://youtu.be/hwBJFXBDOvM
Talking MATHCOUNTS: https://youtu.be/58Y1xdgRGpQ
Geometry of Field Day: https://youtu.be/v-E_bIxBcnc
Camp Counselors: https://youtu.be/qJUT8LlOExI
Upper School Retreat 2015: https://youtu.be/c3AwuxICmWg
Upper School Retreat 2014: https://youtu.be/-NFGkcuNfsY

Views: 188
PowhatanSchool

Featuring Dr. Stan Wagon, Professor of Mathematics - Macalester College. There is no better way to get someone's attention than with an assertion that just seems obviously wrong. Math is full of such things. The talk presents several surprising, even shocking, things from elementary mathematics, such as: A square wheel that rolls perfectly smoothly. A device that uses a normal rotating crankshaft to drill perfect square holes. An application of a non-circular wheel to sewage disposal. A shocking cake puzzle. Surprising new formulas for π. Benford's mysterious law of first digits. The Banach-Tarski Paradox, with constructible pieces.

Views: 6372
UNCA Ramsey Library Video Production

როგორ უნდა შევქმნათ ექსელში ახალი ფუნქციები VBA საშუალებით.
Help us caption & translate this video!
http://amara.org/v/BK9r/

Views: 531
probnoblem

WEBSITE: http://www.teachertube.com Calculus Projects 2009

Views: 188
TeacherTube Math

Views: 18
Larson Texts

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force combined with the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. The period depends on the length of the pendulum and also on the amplitude of the oscillation. However, if the amplitude is small, the period is almost independent of the amplitude.
This video targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Public domain image source in video

Views: 712
encyclopediacc

The Faith of Men
Jack LONDON
A collection of short stories by author Jack London.
Genre(s): Single Author Collections
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Audio book Audiobooks