270degree

270degree refers to the angular measure of 270 degrees, which equals 3π/2 radians. In geometry, 270 degrees is a reflex angle, since it is greater than 180 degrees and less than 360 degrees. On the unit circle the terminal point at 270 degrees is (0, −1), so sin(270°) = −1 and cos(270°) = 0, with tangent undefined.

In the context of modulo arithmetic, 270° is equivalent to −90° (mod 360°). This means a 270-degree rotation in the counterclockwise (positive) direction has the same final orientation as a 90-degree rotation in the clockwise direction.

In navigation and mapping, bearings are typically measured clockwise from north, so a bearing of 270° points due west. This convention differs from the standard mathematical angle convention, where 0° is along the positive x-axis and angles increase counterclockwise.

Applications of 270-degree measurements appear in various fields, including computer graphics, animation, and engineering, where rotations around an axis are described in degrees. Depending on the coordinate system and rotation convention, a 270-degree rotation may be described as a 90-degree rotation in the opposite direction, a 270-degree counterclockwise turn, or a 90-degree clockwise turn.

Related concepts include 90-degree and 180-degree angles, 360-degree full rotation, and the radian equivalent of 3π/2. Understanding 270degrees helps in tasks such as orientation, directional bearing, and rotational transformations across scientific and technical disciplines.