What is is arctan the same as cot?

No, arctan and cot are not the same**. They are related, but distinct trigonometric functions.

Here's a breakdown:

• Arctan (also written as tan^-1 or atan) is the inverse of the tangent function. Given a value x, arctan(x) returns the angle whose tangent is x. The range of arctan is typically defined as (-π/2, π/2).

• Cotangent (cot) is the reciprocal of the tangent function. That is, cot(x) = 1/tan(x). It can also be expressed as cot(x) = cos(x)/sin(x).

While they are not equal, there is a relationship: cot(x) = tan(π/2 - x) and, consequently, arctan(x) = π/2 - arccot(x), where arccot is the arccotangent function (inverse cotangent). Therefore, arctan is the complementary angle of the arccotangent.