# ABCD is a unit square. If CD is moved parallel to AB, and away from AB, continuously, how do you prove that the limit AC/BD is 1?

##### 1 Answer

Jul 22, 2018

See proof.

#### Explanation:

As DC moves away from A, in the direction

At any position, BC = AD = csc C.

= 1 +csc^2 C +2 csc C cos C#

Likewise,

Note that this limit is 1, for the general case of

the space in between is h. The proof is similar.