Arctan Calculator

The arctan function is the inverse of the tangent function, which means that if tan(C)=X, then arctan(X)=C. In other words, the arctan function helps to find the angle C (in radians) when given the ratio of the opposite side to the adjacent side in a right-angled triangle.

To convert radians to degrees, multiply the radians by 180 and divide by π (approximately 3.14159). For example, if the arctan value is given in radians as ‘C’, the conversion to degrees would be: Degrees = (C * 180) / π.

No, arctan is specifically used for finding angles in right-angled triangles. For non-right-angled triangles, you can use the law of sines or the law of cosines to find the angles.

The domain of the arctan function is all real numbers, which means you can input any real number as ‘X’. The range of the arctan function is limited to the open interval (-π/2, π/2), which means the resulting angle ‘C’ will always be between -π/2 and π/2 radians, or -90 and 90 degrees.

Arctan and atan2 are related but serve different purposes. While arctan is used to find the angle given the ratio of the opposite side to the adjacent side in a right-angled triangle, atan2 is used to find the angle between the positive x-axis and a point in a two-dimensional plane. The atan2 function takes two arguments, the y-coordinate and the x-coordinate, and returns the angle in radians within the range of -π to π. This makes atan2 more suitable for handling angles in all four quadrants of the Cartesian plane.