Arctan Calculator (Inverse Tangent)

Find the angle whose tangent is a given value.

Angle (°) 45

Angle (rad) 0.7854

Formula: θ = arctan(x)

Step-by-step with your numbers:

1. Values used:

2. Value = 1

4. Angle = 45°

5. Angle = 0.7854rad

Did we solve your problem today?

Arctangent answers 'what angle has this tangent?', returning a value between −90° and 90°.

The math behind it

arctan is the inverse of tangent and accepts any real number, with output in (−90°, 90°).

arctan(1) = 45°.

Why no range restriction on the input?

Tangent spans all real numbers, so its inverse accepts any value.