30degree

30degree is a term that can refer to the angle measurement of 30 degrees, written as 30° and equal to π/6 radians. In geometry, it is one third of a right angle and frequently appears in the 30-60-90 triangle, where the side lengths are in the ratio 1:√3:2. In trigonometry, the standard values for this angle are sin 30° = 1/2, cos 30° = √3/2, and tan 30° = 1/√3.

In practical applications, 30degree is encountered across fields such as engineering, architecture, computer graphics, and surveying. It is used to describe slopes, inclinations, and rotations. In two- and three-dimensional graphics, rotating objects by 30 degrees involves standard trigonometric functions, and the associated rotation matrices use the cosine and sine of 30°. In design and construction, precise 30-degree angles can influence layouts, truss configurations, and tiling patterns.

Notation varies in practice. The angle can be written as 30°, 30 deg, or simply 30degree in textual labels or branding. While 30degree is primarily a mathematical and technical descriptor, the form 30degree or 30° is sometimes adopted as a stylized name for brands, products, projects, or design initiatives, independent of a specific technical meaning.

See also: degree, angle, trigonometry, 30-60-90 triangle, rotation matrix.