Algebraic functions have outputs that can be calculated by some combination of adding, subtracting, multiplying, dividing, and taking roots.

The calculator has keys for the basic transcendental functions natural logarithm, sine, cosine, and tangent, and their inverse functions.

(The function g is the inverse of the function f if f(x) = y means g(y) = x. "Inverse" has nothing to do with division.)

The corresponding inverse functions (natural exponential for natural logarithm, arcsine for sine, arccosine for cosine, and arctangent for tangent) are on the same keys as the original functions.

(Remember that the natural exponential function applied to a number x is usually written e^x. The function key on the calculator enters e ^( on the command line. If you type e^x using the alphabet letter e, you won't get the same function. The arcsine function applied to a number x is often written sin^-1(x); that's the notation the calculator uses. Don't try to insert an exponent of -1 inside the sine function and expect to get the arcsine function.)

The calculator has other transcendental functions built in as well. They're accessible through the CATALOG.

log is the common logarithm function. log(x) = y exactly when 10^y = x.
You can get 10^y by entering 10^y; you can get exponential functions with any base this way.

sinh is the hyperbolic sine function. sinh(x) = (e^x - e^-x)/2.
Its inverse is often written sinh^-1.

cosh is the hyperbolic cosine function. cosh(x) = (e^x + e^-x)/2.
Its inverse is often written cosh^-1.

tanh is the hyperbolic tangent function. tanh(x) = sinh(x)/cosh(x).
Its inverse is often written tanh^-1.

You can get other transcendental functions by combining these functions with other functions, and by defining functions with integrals. There are many common transcendental functions, such as the Bessel functions, which the calculator does not know.

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