# Trigonometric Operations

The trigonometric operations are defined for integers, floats and
decimals. If the argument is an integer it is widened to a float
before computing the operation. On the other hand if the argument
is a decimal it is narrowed to a float before computing the
operation. Widening from decimal to float might fail with an
exception, since the unbounded decimals have a greater range than
floats.

If the argument of a trigonometric operation is outside of its
domain then an undefined evaluation error is thrown. Further when
the mathematical result exceeds the range of the float then a
float overflow evaluation error is thrown. The throwing of an
exception is pre-ferred over returning a float with the meaning of
not a number (NaN), negative infinite (-Inf) or positive infinite
(+Inf).

The following trigonometric operations are recognized in
evaluations:

- sin(X): [ISO 9.3.2]
- Returns the float representation of the sine of X, the
argument must be given in radians.
- cos(X): [ISO 9.3.3]
- Returns the float representation of the cosine of X, the
argument must be given in radians.
- tan(X): [TC2 9.3.14]
- Returns the float representation of the tangent of X, the
argument must be given in radians.
- asin(X): [TC2 9.3.11]
- Returns the float representation of the arcus sine of X, the
result is in radians.
- acos(X): [TC2 9.3.12]
- Returns the float representation of the arcus cosine of X, the
result is in radians.
- atan(X): [ISO 9.3.4]
- Returns the float representation of the arcus tangent of X,
the result is in radians.
- X ** Y: [ISO 9.3.1]

- Returns the float representation of X raised to the power of
Y.
- exp(X): [ISO 9.3.5]
- Returns the float representation of Euler number e raised to the power of X.
- log(X): [ISO 9.3.6]
- Returns the float representation of the natural logarithm of
X.
- sqrt(X): [ISO 9.3.7]
- Returns the float representation of the square root of X.
- pi: [TC2 9.3.15]

- Returns the float representation of π.
- e:
- Returns the float representation of Euler’s number e.
**atan2(X, Y): [TC2 9.3.13]**
- Returns the float representation of the arc tangent of X and
Y, the result is in radians.

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