Math & Business Productivity

Tan Inverse Calculator (Arctan)

Free tan inverse calculator. Calculate arctan(x), arcsin(x), and arccos(x) in degrees and radians instantly with exact ratio output.

Ratio Value (x)

Arctan Angle (Degrees)45.0000° deg

Arctan Angle (Radians)0.785398 rad

Fraction of π Radians0.2500 π rad π rad

Arcsin Reference (sin⁻¹)90.0000° (1.5708 rad)

Arccos Reference (cos⁻¹)0.0000° (0.0000 rad)

How to Calculate: Formula & Steps

Finds the angle θ whose tangent is equal to ratio x. Range is between -90° and +90° (-π/2 to +π/2 radians).

Formula Used:θ = arctan(x) = tan⁻¹(x)

For x = 1, arctan(1) = 45° (or π/4 rad ≈ 0.7854). For x = -1, arctan(-1) = -45°.

What is tan inverse (arctan)?

Tan inverse (tan⁻¹ or arctan) is the inverse function of tangent. Given a ratio x = tan(θ), arctan(x) calculates the original angle θ.

How do I convert arctan radians to degrees?

Multiply the angle in radians by (180 / π). For instance, 0.785398 rad × (180 / π) = 45°.

What is the tan inverse of 1?

The tan inverse of 1 is 45° (0.7854 radians), since tan(45°) = 1.