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Can someone explain this:    sqrt( 50 ) = 10 * sine  or  cosine  of  45°    indecision

 Feb 13, 2020
 #1
avatar+109740 
+1

sqrt (50)  = sqrt (25 * 2)  =  5sqrt (2)

 

10 sin (45)  =  10 [sqrt (2) / 2 ]  = (10/2) * sqrt (2)  = 5 sqrt (2)    !!!

 

Note... sin (45)  = cos (45)

 

cool cool cool

 Feb 13, 2020
 #2
avatar+531 
+1

In math there's nothing accidental. There must be an explanation of relation between sqrt(50) and  sin(45°)*10

 

                                    [sin(45°)]² = 0.5     

                              sqrt (0.5) = 0.707106781

                              sqrt (50) = 7.07106781     indecision

Dragan  Feb 13, 2020
edited by Dragan  Feb 27, 2020
 #3
avatar+109740 
+1

Well.....there's nothing particularly magical about this

 

For instance

 

sqrt (12)  =  2sqrt (3)

 

But

 

2 tan (60°)   also =  2 sqrt (3)

 

We could find any number of these "strange" coincidences  !!!

 

 

cool cool cool

CPhill  Feb 13, 2020
edited by CPhill  Feb 13, 2020

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