tg

Represents the trigonometric tangent function in mathematical expressions, particularly common in European and Russian notation.

Overview

Serves as an alternative notation for the tangent function, primarily used in European mathematical texts and publications where 'tg' is preferred over 'tan'.

Commonly found in trigonometric equations and geometric calculations
Particularly prevalent in Eastern European and Russian mathematical literature
Functionally identical to \tan in mathematical meaning
Often used alongside similar abbreviated forms like \ctg for cotangent

Examples

Expressing a trigonometric tangent function in a mathematical equation

\tg x = \frac{\sin x}{\cos x}

\tg x = \frac{\sin x}{\cos x}

Using tangent in a trigonometric identity

1 + \tg^2 x = \sec^2 x

1 + \tg^2 x = \sec^2 x

Calculating the angle of inclination using tangent

\alpha = \arctan(\tg \theta) = \theta

\alpha = \arctan(\tg \theta) = \theta