Trigonometric Identities   (expressed in terms of h-length)

OB = 1
BA is a straight line perpendicular to OB

h-length of the segment BA is measured relative to O

The Sine at O equals the square root: of one subtract the reciprocal of e raised to the power of two times the h-length.

The Cosine at O equals the reciprocal of e raised to the power of the h-length.

The Tangent at O equals the square root: of e raised to the power of two times the h-length, minus one.

Sin O = (1 - e^-2hlength )^½

Cos O = (e^-hlength )

Tan O = (e^2hlength - 1)^½

in the diagram:
AB = 1.959592
AO = 2.2

Sin O = (1 - e^-2(.788457) )^½
= .89072

Cos O = e^-.788457
= .45455

Tan O = (e^2(.788457) - 1)^½
= 1.95959