Math Transform
Vector Arctangent (Inverse Tangent) (ATAN)
Vector Trigonometric ATan
Deep Dive
Everything You Need to Know
Under the Hood
How It Works
ATAN applies the inverse tangent (arctan) mathematical transformation to each value in a data series, returning angles in radians from -π/2 to +π/2. Unlike ASIN and ACOS which require bounded inputs, ATAN accepts any real number, making it more versatile for slope and rate calculations. ATAN is commonly used for converting rate-of-change values into angular measurements or calculating indicator slopes in radians.
In Practice
How Traders Use It
Developers use ATAN for slope-based indicator calculations, converting momentum or rate-of-change values into angular representations. Particularly useful for measuring indicator steepness (LINEARREG_ANGLE uses similar concepts), creating adaptive thresholds based on slope, or building custom trend strength measures. Combine with SQRT for magnitude-angle decompositions or with other trig functions for complete angular analysis. Essential for custom momentum indicators using angular metrics.
Highlights
ATAN at a Glance
- Inverse tangent transformation (arctan)
- Accepts any input, output: -π/2 to +π/2 radians
- Ideal for slope and rate-of-change angles
- More versatile than ASIN/ACOS (unbounded input)
- Used for indicator steepness measurements
- Essential for angular momentum indicators
- Popular for custom trend strength algorithms
Related
More Math Transform
Get Started
Automate ATAN with Cryptorobot.ai
Build automated strategies using Vector Arctangent (Inverse Tangent) and hundreds of other indicators. Connect to your favourite exchange and let the bot execute trades 24/7 — no code required.
FAQ
Frequently Asked Questions
What is the Vector Arctangent (Inverse Tangent) (ATAN) indicator?
Vector Trigonometric ATan
How does ATAN work?
ATAN applies the inverse tangent (arctan) mathematical transformation to each value in a data series, returning angles in radians from -π/2 to +π/2. Unlike ASIN and ACOS which require bounded inputs, ATAN accepts any real number, making it more versatile for slope and rate calculations. ATAN is commonly used for converting rate-of-change values into angular measurements or calculating indicator slopes in radians.
How do traders use ATAN in their strategies?
Developers use ATAN for slope-based indicator calculations, converting momentum or rate-of-change values into angular representations. Particularly useful for measuring indicator steepness (LINEARREG_ANGLE uses similar concepts), creating adaptive thresholds based on slope, or building custom trend strength measures. Combine with SQRT for magnitude-angle decompositions or with other trig functions for complete angular analysis. Essential for custom momentum indicators using angular metrics.
What are the key points to know about ATAN?
Inverse tangent transformation (arctan) Accepts any input, output: -π/2 to +π/2 radians Ideal for slope and rate-of-change angles More versatile than ASIN/ACOS (unbounded input) Used for indicator steepness measurements Essential for angular momentum indicators Popular for custom trend strength algorithms
Can I use ATAN with Cryptorobot.ai?
Yes. Vector Arctangent (Inverse Tangent) (ATAN) is available as a built-in indicator in Cryptorobot.ai. You can add it to any automated strategy using the no-code strategy builder, backtest it against historical data, and deploy it live on supported exchanges.

