sinh: meaning, definition, pronunciation and examples
Very Low (C2/Technical)Formal, Technical, Academic
Quick answer
What does “sinh” mean?
A hyperbolic sine function, a mathematical function defined as sinh(x) = (e^x – e^{-x}) / 2.
Audio
Pronunciation
Definition
Meaning and Definition
A hyperbolic sine function, a mathematical function defined as sinh(x) = (e^x – e^{-x}) / 2.
In mathematics and engineering, it describes a specific odd function that appears in solutions to differential equations, calculations of hyperbola geometry, and certain physics models like catenary curves or special relativity. Outside of technical contexts, it is virtually unknown.
Dialectal Variation
British vs American Usage
Differences
No difference in meaning or usage. Pronunciation of the letter 'h' may be more aspirated in some British dialects, but the term itself is identical.
Connotations
Purely technical, neutral.
Frequency
Identically rare and confined to STEM fields in both regions.
Grammar
How to Use “sinh” in a Sentence
sinh(of [number/variable])sinh([number/variable])Vocabulary
Collocations
Usage
Meaning in Context
Business
Not used.
Academic
Used in university-level mathematics, physics, and engineering textbooks and papers.
Everyday
Not used.
Technical
Core term in calculus, differential equations, and theoretical physics contexts.
Vocabulary
Synonyms of “sinh”
Neutral
Vocabulary
Antonyms of “sinh”
Watch out
Common Mistakes When Using “sinh”
- Capitalizing it as 'Sinh'.
- Mispronouncing it as /sɪn/ (like 'sin').
- Confusing it with the trigonometric sine (sin).
- Using it in non-mathematical contexts.
FAQ
Frequently Asked Questions
Yes, but only as a technical term in mathematics. It is not part of general vocabulary.
It is most commonly pronounced /ˈsɪnʃ/ (like 'cinch' but with an 's') or /ˈsɪntʃ/. In speech, it is often spelled out as 'S-I-N-H'.
No. It is exclusively a noun naming a specific mathematical function.
'Sin' (or sine) is a trigonometric function relating to circles and angles, producing periodic waves. 'Sinh' (hyperbolic sine) is a hyperbolic function related to hyperbolas and exponential growth/decay.
A hyperbolic sine function, a mathematical function defined as sinh(x) = (e^x – e^{-x}) / 2.
Sinh is usually formal, technical, academic in register.
Learning
Memory Aids
Mnemonic
Sinh is the 'hyperbolic SINE'. Remember: 'S' for Sinh, 'C' for Cosh. It's the odd one (odd function): sinh(-x) = -sinh(x), like a twisted version of the regular sine.
Conceptual Metaphor
GROWTH/DECAY AT A CONSTANT RATE: The function models unbounded exponential growth and decay, unlike the oscillatory, bounded nature of the standard sine wave.
Practice
Quiz
What is the primary domain of usage for the word 'sinh'?