#45 degrees in radians how to

For example, if in the illustration above b = 6 and a = 12, then cot(α) = 6 / 12 = 0.5. Our cotangent calculator accepts input in degrees or radians, so once you have your angle measurement, just type it in and press 'calculate'.Īlternatively, if the angle is unknown, but the lengths of the two sides of a right angle triangle are known, calculating the cotangent is just a matter of dividing the adjacent by the opposite side. If you know the angle, then it is a simple calculation of the ratio between the two sides that is required to produce such an angle.

#45 degrees in radians how to

How to calculate the cotangent of an angle? It is useful for finding an angle x when cot(x) is known. The inverse of the cotangent is the arccotangent function: arccot(x). The reciprocal of cotangent is the tangent: tan(x), which is the ratio of the length of the opposite side to the length of the side adjacent to the angle. Following from the definition, the function results in an undefined value at certain angles, like 0°, 180°, 360°, and so on. A cotangent of an angle α is also equal to the ratio between its cosine and sine, so cotα = cosα / sinα. In the figure above, cotα = b / a, and cotβ = a / b. It is called 'cotangent' in reference to its reciprocal - the tangent function - which can be represented as a line segment tangent to a circle.

The cotangent is a trigonometric function, defined as the ratio of the length of the side adjacent to the angle to the length of the opposite side, in a right-angled triangle. How to calculate the cotangent of an angle?Ĭotangent function ( cot(x) or cotan(x) ).Cotangent function ( cot(x) or cotan(x) ).