Density based traffic signal system using image processing

Contact Me for Project Prize Mail Id:  tamilblogelectronic@gmail.com Measure Traffic density and ambulance detection in Realtime project. What We Do in This Project: (Both Software & Hardware Project Available) ( i) Traffic Density Measure - Realtime (Means using Traffic Camera or Traffic Video) First,  we do Vehicle Detection in Video/Camera using Image Processing. Second, we Count the Vehicle We Detected in Video/Camera using Image Processing. Third, We Compare Two lane Vehicle Density in Video/Camera , if lane detect more no. of vehicle will be Prioritized first.   (ii) Ambulance Detection in Single Lane  - Realtime (Means using Traffic Camera or Traffic Video) : First, We Collect the Images of Ambulance. Second, we train our Image model using sample ambulance image. using Yolo image Model, we able to Detect the Ambulance in Video/ Camera. (iii) Ambulance Detection in Multiple Lane  - Realtime (Means using Traffic Camera or Traffic Vid...
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Trigonometry table : How to Understand It ?

 Welcome To By Tamil Blog Electronics


Trigonometry Table Trick ? Are You Mug Up Or Memorizing Trigonometric ?  

I Will Give You A Trick Or Solution To Understand  Trigonometry Table

Why This Trigonometric Table Is Important? by TAMIL BLOG Electronics

Let Us Go To The Topic You have Searched


First You Need To know What Is Sine Cos Tan ?


I Have Created Post About : How to Make Sin Wave and Cos Wave Using Trigonometric?


Click This To Understand Basic, 


Scroll Down To See Exact Topic




As You Can See Above Diagram 


I Have Drawn A Unit Circle. (Unit Circle Means Radius Is 1)


Now I Have Drawn And I Have Joined Them As Two Axis Consider X And Y 


When I Joined Two Axis It Has Created 3 Angle, In Trigonometry Angle Described In (Theta) θ 


So I Named θ1 , θ2 , θ3


When You Open This Link :  How to Make Sin Wave and Cos Wave Using Trigonometric?


I Have Mentioned Sine Wave Is Discovered By Joseph Fourier


Trigonometry Table Is First Constructed By Hipparchus Of Nicaea . 

Hipparchus Of Nicaea  Is Considered Has "Father Of Trigonometry"


So He Named Sine, Cos ,Tan ,Cosine, Sec ,Cot. 


If You Discovered You Can Name , Any Name You Want ?😁😀😀😀😁


People Who Have Headache On Sine Cos , What Is That ?


Its Just A Name Given To That .. Just Like Your Name 


As He Discovered We Have To Follow Him


Before Naming Theta (θ) Name You Need To Understand That In Right Angle Triangle All Three Sides Are Not Equal 

 

 


So We Need To Name Each And Very Side Of Right Angle Triangle

  • Hypotenuse
  • Opposite Side
  • Adjacent Side

Hypotenuse:


It Is A Longest Side In  Right Angle Triangle


Opposite Side:


Its Just To Opposite To The Angle Made From Hypotenuse 


Adjacent Side:


Its Opposite To Opposite Side Angle


Now We Will Name Which Angle


  θ1 , θ2 , θ3 is sin , cos , tan on right angle triangle


Now I am going to tell some civil engineering how they use sin cos in their field and problems ?


This Picture shows a force is act on body  in Y-axis

 




When We Need To Calculate A Total Force Act On A Body , 


They Always Split The Force Into Two Components i.e is Sine And Cos . 


As You Can See Sine is Acting Vertically And Cos is Acting In Horizontal 


Not Only In Civil Engineering 


Sine Is Always Act Upon  Vertically Because Of Its Angle Formula 


Sine = Opposite / Hypotenuse 


Hipparchus Of Nicaea Is Just Consider 


Sine = Opposite / Hypotenuse  


That's Why This If He Consider Sine = Adjacent / Hypotenuse 


Then We Will Study As Sine = Adjacent / Hypotenuse


It Because Who  Consider Or Coined Term First


As You See Below Diagram Opposite Side In Y Axis So Sine Always In Y Axis 

 

So θ3 is Sine Angle or Sine θ


Now Cos θ Or Cos Angle


Cos θ = Adjacent / Hypotenuse

 

As you can see above picture adjacent side is in X axis , so cos always consider in X axis.


So θ1 is COS 


Similarly tan


tan = adjacent / opposite 


now we find all three angle θ1 , θ2 , θ3 is sin , cos , tan


what about cosine, sec, cot ?


you see there is always two possibilities win or loss , one or zero, etc


for sine we considered yellow line / black line 


there is also a possibilities that black line/ yellow line

 

now new angle is create we name it has cosine 


similarly sec = 1/ cos

                cot = 1/ tan 


Proof of Tan = Sin / Cos :

for tan we can prove theoretically as well that how tan = sin/ cos

its Right Angle triangle so i am going to use 


Pythagoras theorem


c = √(a² + b²)



c = Hypotenuse

b = adjacent 


a = opposite


As I said before that circle radius is 1 unit so


the length of a = 1


the length of b = 1


c = √(a² + b²)


c = √(1² + 1²)  →   √2


sin = a/c → 1/√2 -- - - - - - - - - - - - -  2nd equation


cos = b/c → 1/√2- - - - - - - - - - - - - - 3rd equation


tan = a/b = 1 - --  - -  - -  - - - - -  1st Equation


we need prove 


tan = sin/ cos


 tan       L.H.S = 1  from  1st Equation


sin/cos  R.H.S =  1/√2  /  1/√2 -----------2nd equation / 3rd equation


Finial answer  in R.H.S is 1


In  already L.H.S = 1 


hence proved  L.H.S = R.H.S


I hope you have cleared all your doubts in here itself because now we are going to actual thing you looking for 


Why This Trigonometric Table Is Important? by TAMIL BLOG Electronics


How Sin 30 Degree Is 1/2 ?  How Cos 30 Degree Is √3/2 ?


If You Understand the proof of tan = sin / cos 


you almost got an idea of concept , anyway I am here to clear all  your doubt


so let us go to the content 


below diagram is sin cos tan is 45 degree θ1 = 45 degree


I have proved tan = sin/ cos with θ1 = 45 


so sinθ = 1/√2 ; cosθ = 1/√2 ; tan = 1


This triangle has vertices of 45 ,45 ,90 degree this is isosceles triangle


Isosceles Triangle

To get 30 , 60, 90  we need perfect right angle triangle .


 The angle of perfect right angle triangle are such that the larger ( angle, should be 90 degrees which  is equal to the sum of the other two angles.


The below triangle is perfect triangle because large angle is 90


and sum of other two angle is 60 + 30 is 90 


both are equal 


for 30 degree of sin cos tan


below diagram θ = 60 , 30



θ1 = 60 ; θ2 = 90 ; θ3 = 30


as you can see above picture is a equilateral triangle all sides are equal and spitted into two right angle 


In equilateral triangle all sides are 60 degree

           for θ3 = 30    opposite side is a


                                  a = L


                                  b = L/2


as I said before it is a equilateral angle that means all side are equal so length = L


In opposite side for 30 degree is  a two right angle triangle so L/2 for 


sin30 = opposite / hypotenuse 


             = L / L/2      

                           (L/L will cancel )

              = 1/2


cos30 = adjacent / hypotenuse


           H- Hypotenuse


           A - Adjacent 


           O - Opposite 


To Adjacent For 30 Degree 


H = √(A² + O²)


We Need To Adjacent, Opposite And Hypotenuse Are Founded In Sin 30


 A  = √(H² - O²)


    =  √(L/2² - L²)                 Substitute L = 1 Because Its Unit Radius


     = √(1/2² - 1²)


      = √3/2


Cos30 = Adjacent / Hypotenuse


           =  √3/2 / 1


         = √3/2 


Similarly For For 60 And 90 Degree

 

CONCLUSION:


CONCLUSION:


If  Your are Reading Fully And Shared Your Precious Time With Me Means Thank You 😁😀😁😁, 


Support Me By Revisit  My Website And Visit Other Post


Related Post:


What Is Sine Wave And Cos Wave ? Without Axis Is Sine

 And Cos Same ? 😉😉


Relationship Between Wavelength And Frequency And Energy


Trigonometry Table Trick


Bits And Byes


What Is Op-Amp?


What Is Verilog ?


Verilog Software 


What Is Log Or Logarithms ?


Verilog Project

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