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