cosec: meaning, definition, pronunciation and examples
C2Technical/Mathematical
Quick answer
What does “cosec” mean?
A trigonometric function, the reciprocal of the sine function (cosec θ = 1 / sin θ).
Audio
Pronunciation
Definition
Meaning and Definition
A trigonometric function, the reciprocal of the sine function (cosec θ = 1 / sin θ).
Abbreviation for cosecant, used primarily in mathematical and scientific contexts.
Dialectal Variation
British vs American Usage
Differences
No significant usage differences. The full form 'cosecant' is equally standard in both regions.
Connotations
Purely mathematical/technical; no cultural connotations.
Frequency
Rare outside of educational or professional mathematical contexts in both regions.
Grammar
How to Use “cosec” in a Sentence
cosec of [angle/variable]cosec([angle])Vocabulary
Collocations
Examples
Examples of “cosec” in a Sentence
adjective
British English
- The cosec value was plotted.
American English
- We solved the cosec equation.
Usage
Meaning in Context
Business
Not used.
Academic
Used in mathematics, physics, and engineering textbooks and papers.
Everyday
Extremely rare, only in the context of homework or tutoring.
Technical
Standard term in trigonometry, calculus, and related technical fields.
Watch out
Common Mistakes When Using “cosec”
- Spelling it as 'cossec' or 'cosek'. Confusing it with secant (sec) or cosine (cos). Using it as a verb (e.g., 'I cosec the angle').
FAQ
Frequently Asked Questions
Yes, 'csc' is another common abbreviation for cosecant, often used in American texts. 'Cosec' is also widely accepted.
Cosec(θ) is undefined wherever sin(θ) = 0, because division by zero is impossible. This occurs at angles like 0°, 180°, 360°, etc.
No, 'cosec' has no established meaning in everyday language, business, or other non-technical fields. It is a purely technical term.
The derivative of cosec(x) is -cosec(x)cot(x).
A trigonometric function, the reciprocal of the sine function (cosec θ = 1 / sin θ).
Cosec is usually technical/mathematical in register.
Cosec: in British English it is pronounced /ˈkəʊsɛk/, and in American English it is pronounced /ˈkoʊsɛk/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think: 'COuld Someone's Sister EAT Cakes?' The first letters (C-S-E-C) sound like 'cosec' and it's related to sine. Or simply remember it as 'co-' from cosine and 'sec' from secant, both reciprocal functions.
Practice
Quiz
What is the primary definition of cosec(θ)?