Hi,

why sin theta is equal to tan theta when angle is minimum

 tan =   see graph: cos(0) = 1

 y = cos (x)



 

Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
 
One way is:
For very thin right triangles, the adjacent side and the hypotenuse
are very nearly the same, so the opposite/hypotenuse is very close to
the opposite/adjacent.

------------------------------------

To elaborate on the other tutor's answer,

 = 

Multiply both sides by 

 = 

Divide both sides by 


 = 

When  is very near to zero, the right side  is 
very near to 1, since  = 1

so the ratio of the sine to the tangent is very near to 1, which means
they are nearly equal.

Edwin


 

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