sin b/ tan b = cos by

This is math and art…kinda. right?

 

The expression on his face is priceless.

 
So there’s this…
Trigonometric identity:

sin x = tan x
cos x

Therefore,

sin x = tan x cos x

which means…

sin x = cos x
tan x

Now just replace x with b.  If “b” is now the independent variable…

 

sin b = cos b
tan b

har har “cos b” = Cosby

Thanks Hud.  Haha.  This is awesome.

About Kiv

art - math - music

29. September 2011 by Kiv
Categories: Art, Math | Tags: , , , , | 9 comments

Comments (9)

  1. easier to see is sin b = o/h, tan b = o/a, where o + opposite, h = hypotenuse, a = adjacent sides. o/h//o/a = a/h (divide top and bottom o, multiply top and bottom by ah (i think :-)). it’s easier to see if u write it out as fractions. and all u need to know is the definition of the sin, cos and tan. this is probably how the ancient egyptians did it and they invented geometry according to herotodus.

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