Which of the six trigonometric functions do not depend on the value of r?

If we construct a triangle in a circle of radius , the radius of the circle will be the hypotenuse of our triangle, and the legs will be  and  as you can see in the picture. 
Now we can construct our trigonometric ratios for our triangle as usual:







As you can see the only two trigonometric functions that don't depend on the value of  are tangent and cotangent.

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm