Enter the number for which you want to calculate the arctangent below:
The arctangent of a number is the angle whose tangent is equal to that number. In mathematical terms, if you have a number x and you calculate tan(x), then arctan(tan(x)) is equal to x. The arctangent is often denoted as atan or tan^(-1).
The arctangent is a widely used function in trigonometry, a branch of mathematics dealing with the relationships between the angles and the lengths of the sides of triangles. It is often used to determine the angle of a right-angled triangle, given the lengths of two of its sides.
It is important to note that, although the tangent of 45 degrees and 225 degrees are both 1, the arctangent of 1 will always be 45 degrees. This is because the Math.atan() function returns a value between -π/2 and π/2 (i.e., -90 and 90 degrees). For angles in other quadrants, you can use the Math.atan2(y, x) function, which returns a value between -π and π, depending on the signs of x and y.
For example, if you want to know the angle between the positive x-axis and the point (x, y), you can calculate it with Math.atan2(y, x).