Math Transform
Vector Tangent (TAN)
Vector Trigonometric Tan
Deep Dive
Everything You Need to Know
Under the Hood
How It Works
TAN applies the tangent trigonometric function to each value in a data series (interpreting values as radians). TAN = SIN / COS and has vertical asymptotes at odd multiples of π/2 where it approaches ±infinity. This function is particularly useful for slope and angle calculations - small angle approximations use TAN for representing gradients. TAN converts angles into slope ratios, making it valuable for trend angle analysis and rate-based indicators.
In Practice
How Traders Use It
Developers use TAN for converting phase angles into slope representations, building angle-based trend strength indicators, or creating gradient measures from angular data. Particularly useful in conjunction with ATAN for bidirectional angle/slope conversions, or for implementing indicators similar to LINEARREG_ANGLE that measure trend steepness. Combine with angle calculations for creating slope-based filters or adaptive thresholds. Useful for building custom momentum indicators that use angular/slope representations of price movement.
Highlights
TAN at a Glance
- Tangent transformation: sin/cos
- Converts angles to slope ratios
- Has asymptotes at odd π/2 multiples
- Used for slope and gradient calculations
- Pair with ATAN for angle/slope conversions
- Relevant for trend angle analysis
- Popular in slope-based indicators
Related
More Math Transform
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FAQ
Frequently Asked Questions
What is the Vector Tangent (TAN) indicator?
Vector Trigonometric Tan
How does TAN work?
TAN applies the tangent trigonometric function to each value in a data series (interpreting values as radians). TAN = SIN / COS and has vertical asymptotes at odd multiples of π/2 where it approaches ±infinity. This function is particularly useful for slope and angle calculations - small angle approximations use TAN for representing gradients. TAN converts angles into slope ratios, making it valuable for trend angle analysis and rate-based indicators.
How do traders use TAN in their strategies?
Developers use TAN for converting phase angles into slope representations, building angle-based trend strength indicators, or creating gradient measures from angular data. Particularly useful in conjunction with ATAN for bidirectional angle/slope conversions, or for implementing indicators similar to LINEARREG_ANGLE that measure trend steepness. Combine with angle calculations for creating slope-based filters or adaptive thresholds. Useful for building custom momentum indicators that use angular/slope representations of price movement.
What are the key points to know about TAN?
Tangent transformation: sin/cos Converts angles to slope ratios Has asymptotes at odd π/2 multiples Used for slope and gradient calculations Pair with ATAN for angle/slope conversions Relevant for trend angle analysis Popular in slope-based indicators
Can I use TAN with Cryptorobot.ai?
Yes. Vector Tangent (TAN) 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.

