The continued fractions terminate because the next term would be zero (expressions like
4²-4²). In fact the expansion holds for non-integer values of n as well, but does not terminate.
Trig Identities
Special Angles
Sin or Cos 3x, 4x, etc. -- trig
functions of any multiple of an angle.
d/dx (sin x) = cos x, in the
calculus section of this website
Hyperbolic Functions -- sinh(x)
and cosh(x), which, together with exp(x) and the circular functions sin(x) and
cos(x) form a family of functions.
Table of Integrals --
derivations of various special integrals requires extensive use of the trig
identities on this page.