Lambert's formula
A continued fraction representation of the tangent function was published in 1770 by the German mathematician J.H. Lambert:
tan x = x
---------------
1 - x²
-----------
3 - x²
-------
5 - ...
where
x
is in radians. Define a procedure
(tan-cf x k)
that computes an approximation to the tangent function based on Lambert's formula.
K
specifies the number of terms to compute, as in exercise
1.37
.