in the generation of electro magnetic waves ? what sort of trigonometry is involved ?

[bimbo36]

first of all , once again i am sorry for posting this big picture .. please dont consider it as spam ...

 

 

 

 

 

 

??

 

 

[ajb]

Maybe you need to specify your question or the point you wish to discuss.

 

In electromagnetic theory one will encounter standard (spherical) trigonometry.

[bimbo36]

thanks for the reply .. i am sort of new to all these things ... this was mostly something i was trying to figure it out as part of improving some mathematics mostly trigonometry ,with the help of some applications to go with it ...

 

to be honest i could not find one proper application side ... to think about trigonometry on a bigger scale ...

 

and i was hoping something like this might help me see a bigger picture of trigonometry .... along with few of its applications ...

 

 

The acceleration imposed on electrons as they encounter magnetic fields produces electromagnetic waves. Their wavelength, frequency and intensity are controlled by a number of factors, including the size of the acceleration and how suddenly it is applied.

 

 

 

 

 

 

 

 

my question again is ..

 

the trigonometry you know , is it in the way the magnetic fields are input " somehow " to impose the acceleration on the electrons ? or is the trigonometry in the way the wave is output ??

[studiot]

Waves are repetitive physical phenomena that have a definite time interval between the repetition.

The time interval is called the period of the wave.

 

Trigonometric functions are also repetitive mathematical functions with a definite period between repetitions.

 

So it is not suprising that we often use combinations of trigonometric functions to represent waves mathematically.

 

We do not generate physical waves by running something through a trigonometric sausage maker.

 

So are you looking for actual examples of the use of the more complicated trigonometric formulae

 

or

 

are you looking to understand the generation of EM waves by electron acceleration?

[bimbo36]

Waves are repetitive physical phenomena that have a definite time interval between the repetition.

The time interval is called the period of the wave.

 

Trigonometric functions are also repetitive mathematical functions with a definite period between repetitions.

 

So it is not suprising that we often use combinations of trigonometric functions to represent waves mathematically.

 

We do not generate physical waves by running something through a trigonometric sausage maker.

 

So are you looking for actual examples of the use of the more complicated trigonometric formulae

 

or

 

are you looking to understand the generation of EM waves by electron acceleration?

 

thanks a lot for the nice explanations ...

 

the problem was that i am missing many sides of my trigonometry basics ... due to the not so simplicity of the trigonometry itself ...

 

at the same time i was trying to see some application side of the trigonometry too .... which was also a bit hard to see without the above picture i posted ...

 

 

 

 

are you looking to understand the generation of EM waves by electron acceleration?

 

 

yes i would really like a better understanding of this part where some good practical physics is involved ...

 

at the same time ...

 

 

So are you looking for actual examples of the use of the more complicated trigonometric formulae

 

this part too ...

 

i have been searching in google to understand some basics of it ...

 

and i have ended up with few basic question such as ...

 

 

 

 

 

what are some practical applications of sine, cosine , arc sine , etc ??

 

and

 

how does some trigonometric functions like ? y = sine(x) ?? ... f(x) = sine(x) ??? looks like .... ?

 

that would be like asking ... why the wave of the function sine(x) different from the wave of the function cose(x) ???

[studiot]

Look here for a discussion about

 

What are trigonometric functions and their inverses.

 

http://wmueller.com/precalculus/newfunc/invtrig.html

 

It provides graphs for the main functions.

 

Once you have a handle on this we can proceed to examples of use.

[bimbo36]

 

Trigonometric functions are also repetitive mathematical functions with a definite period between repetitions.

 

So it is not suprising that we often use combinations of trigonometric functions to represent waves mathematically.

 

We do not generate physical waves by running something through a trigonometric sausage maker.

 

i have few more doubts , and few more pics about the doubts ..

 

 

 

 

 

 

i dont really understand the change from the calculations in the quadrants to wave like output representation ??

[Strange]

i have few more doubts , and few more pics about the doubts ..

 

Please stop posting stupid pictures. It is extremely annoying.

 

 

 

 

 

i dont really understand the change from the calculations in the quadrants to wave like output representation ??

 

The values in the quadrants show what result you get for the sine and cosine of various angles. The animation shows that if you take the cosine function and plot the values you get as you increase the angle, you end up with a sinusoidal wave. This wave also occurs in many natural systems (a pendulum, a vibrating string, etc) as these are all examples of simple harmonic motion. And, as you noted originally, light also consists of sinusoidal electric and magnetic waves.

[bimbo36]

sorry about the pictures ... i sometimes i just arrange these things in my facebook profile ... so that i can ask better questions ...

 

 

The values in the quadrants show what result you get for the sine and cosine of various angles. The animation shows that if you take the cosine function and plot the values you get as you increase the angle, you end up with a sinusoidal wave

 

like a graphical approximate representation of a sinusoidal wave ??

 

 

This wave also occurs in many natural systems (a pendulum, a vibrating string, etc) as these are all examples of simple harmonic motion. And, as you noted originally, light also consists of sinusoidal electric and magnetic waves.

 

thanks , i am learning a lot of things ..

 

can i just post two more pictures associated with trigonometry ...? it looks interesting when i put together a few pics ... it looks sort of silly , but helps a noob like me when learning trigonometry ...

 

i also have few more doubts from the picture ...

 

i promise i wont post any more pictures associated with trigonometry after that ...

[Strange]

like a graphical approximate representation of a sinusoidal wave ??

 

 

Yes. But not really an approximation. It is a sinusoidal wave.

 

can i just post two more pictures associated with trigonometry .

 

 

I don't mind if you post pictures to illustrate problems with trigonometry. We don't need the jokes and pictures of your girlfriend (or you, or whoever it is).

[bimbo36]

first of all , i am sorry for a bit of inappropriate content in it ... i was a bit excited because i could ask few proper questions from it ... i also had to arrange it that way quickly before few points escaped from my mind ...

please bear with the noobish attempt , this is an attempt for a deeper understanding .. before i get completely disconnected from the trigonometry ...

i would also appreciate it if i could keep this picture here , for some future reference .. even though it looks a bit messy ...

i am sorry for arranging pictures this way ... this was the only few pictures i could find ...


pictures removed


the second part of the questions would be like ...
pretend you know how to plot the graph of the trigonometric functions ...
then , when does this become a repetitive cycle ??

[swansont]

first of all , i am sorry for a bit of inappropriate content in it ...

 

!

Moderator Note

Embrace picture editing software with a "crop" function, or hone your image searching skills. Don't do this again.

[Strange]

If the problem really is with image editing, then I always recommend IfranView as a really simple and fast image viewer and editor.

[bimbo36]

ok , no problems ...

 

anyway those pictures sort of helped me a little bit ... from moving away from usually dull looking triangles... to understanding radian measurements ... till , to a point where i could ask questions about graphing trigonometric functions ...

 

and to how the repetitive cycles of some trigonometric functions are achieved ...

 

even though that last part isn't exactly that clear to me ...

 

then i googled something and found this link ... looks interesting ...

 

 

 

 

 

How to Graph a Sine Function ?

 

http://www.dummies.com/how-to/content/how-to-graph-a-sine-function.html

 

 

Knowing how to graph trig functions allows you to measure the movement of objects that move back and forth or up and down in a regular interval, such as pendulums. Sine functions are perfect ways of expressing this type of movement, because their graphs are repetitive and they oscillate (like a wave)

 

f(x) = sin x

 

It repeats itself every 2-pi radians ...

 

 

This repetition occurs because 2-pi radians is one trip around the unit circle — called the period of the sine graph — and after that, you start to go around again. Usually, you're asked to draw the graph to show one period of the function, because in this period you capture all possible values for sine before it starts repeating over and over again. The graph of sine is called periodic because of this repeating pattern

 

i really need a better understanding of this part ...

[Strange]

i really need a better understanding of this part ...

 

 

I really can't think of a better explanation than the circle animation you posted earlier. Take another look at that and think about what it shows in relation to that statement.