3.2 Trigonometric Functions

Operator: tan expression
Operator: atan expression

These are the tangent and arctangent functions, from which all the other trigonometric functions are defined.

Operator: cot expression
Operator: acot expression
Operator: sin expression
Operator: asin expression
Operator: cos expression
Operator: acos expression
Operator: sec expression
Operator: asec expression
Operator: csc expression
Operator: acsc expression

The standard trigonometric functions and their inverses.

(%0051) tan(atan(x));
%0051: x
(%0052) atan(tan(x));
%0052: x
(%0053) tan(2*atan(x));
        2 x
%0053: ------
            2
       1 - x
(%0054) tan(3*atan(x));
                3
       - 3 x + x
%0054: ----------
               2
       -1 + 3 x
(%0055) tan(4*atan(x));
                   3
        - 4 x + 4 x
%0055: --------------
               2    4
       -1 + 6 x  - x
(%0056) atan(2*tan(x));
%0056: atan(2 tan(x))
(%0057) sin(3*asin(x));
                  3
%0057: - 3 x + 4 x