Math Transform

Vector Hyperbolic Cosine (COSH)

Vector Trigonometric Cosh

Deep Dive

Everything You Need to Know

Under the Hood

How It Works

COSH applies the hyperbolic cosine function to each value: cosh(x) = (e^x + e^-x) / 2. Unlike regular cosine which oscillates, COSH grows exponentially for large absolute values and has minimum value of 1 at x=0. This function is used in advanced mathematical transformations, particularly in volatility modeling, option pricing formulas (Black-Scholes variants), or custom indicator algorithms requiring hyperbolic transformations.

In Practice

How Traders Use It

Developers use COSH in specialized indicator algorithms involving exponential weighting, volatility modeling, or mathematical transformations from financial mathematics. Particularly relevant for custom option pricing calculations, advanced volatility indicators, or building transformations that require exponential growth characteristics. Combine with SINH and TANH for complete hyperbolic function systems. Less common in traditional technical analysis but valuable for quantitative algorithm development.

Highlights

COSH at a Glance

Hyperbolic cosine: (e^x + e^-x) / 2
Output ≥ 1 (minimum at x=0)
Grows exponentially for |x| large
Used in advanced financial mathematics
Relevant for volatility modeling
Component of option pricing formulas
Popular among quantitative developers

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