Calculator Servicescalculatorservices.com
Trigonometry

Arctangent Calculator

arctan(x) in degrees. Free online Arctangent Calculator. Calculate arctangent online — fast, accurate, mobile-friendly, no signup needed.

angle (°)
45

Derivation

  1. ├── 01Givenx = 1
  2. ├── 02Formula180 × atan(t) / π
  3. └── 03Compute angle (°)45
Did you know?

Every calculator here runs 100% in your browser — nothing is sent to a server or stored in a database.

§01What is

Understanding the Arctangent Calculator

The Arctangent Calculator computes angle (°) from 1 input: x. arctan(x) in degrees.

Trigonometry is how we turn angles into distances and distances into angles. It sits under every GPS fix, surveyor measurement, and game-engine render — and it still shows up in carpentry, roof pitches, and woodworking. The Arctangent Calculator sits in that toolkit — it arctan(x) in degrees. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

180 × atan(t) / π

Where

x
x
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: x = 1.

  1. 01Start by noting the input — x: 1.
  2. 02Substitute these values into the formula: 180 × atan(t) / π
  3. 03Compute angle (°): the calculator returns 45.
  4. 04Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Arctangent Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

x halved

x = 0.5 (from 1)

Keep every other input at its default and halve the x. See how angle (°) responds.

  1. 01New x: 0.5
  2. 02Baseline angle (°): 45
  3. 03New angle (°): 26.5651
  4. 04angle (°) decreases by 41% → use this sensitivity to plan for real-world variation.
02 · PATTERN

x doubled

x = 2 (from 1)

Keep every other input at its default and double the x. See how angle (°) responds.

  1. 01New x: 2
  2. 02Baseline angle (°): 45
  3. 03New angle (°): 63.4349
  4. 04angle (°) increases by 41% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
Your feedback

How useful was this calculator?

Your ratings stay in your browser — they help us learn which tools people actually rely on.

Rate it
Was this helpful?