cofunction: meaning, definition, pronunciation and examples
C2Technical / Academic
Quick answer
What does “cofunction” mean?
A function whose value for a given angle equals the value of the corresponding trigonometric function of the complementary angle.
Audio
Pronunciation
Definition
Meaning and Definition
A function whose value for a given angle equals the value of the corresponding trigonometric function of the complementary angle.
In a broader mathematical context, it can refer to any function whose relationship to another function is defined by a complementary argument transformation (like f(x) and g(π/2 - x)).
Dialectal Variation
British vs American Usage
Differences
No significant difference in meaning or usage. Spelling remains identical. The term is standardized internationally in mathematics.
Connotations
None; purely technical.
Frequency
Equally rare and equally specific in both dialects.
Grammar
How to Use “cofunction” in a Sentence
The [trigonometric function] of angle θ is the cofunction of its complement.[Function A] and [Function B] are cofunctions.Vocabulary
Collocations
Examples
Examples of “cofunction” in a Sentence
adjective
British English
- The sine and cosine have a cofunction relationship.
American English
- We applied the cofunction identities to simplify the expression.
Usage
Meaning in Context
Business
Not used.
Academic
Used exclusively in mathematics, physics, and engineering textbooks and papers when discussing trigonometric identities.
Everyday
Virtually never used.
Technical
Core term in trigonometry. Precision is paramount.
Vocabulary
Synonyms of “cofunction”
Neutral
Weak
Watch out
Common Mistakes When Using “cofunction”
- Misspelling as 'co-function' (hyphenation is not standard).
- Confusing it with 'composite function'.
- Using it outside a mathematical context.
FAQ
Frequently Asked Questions
Sine and Cosine are the most fundamental example: sin(θ) = cos(90° - θ) or sin(θ) = cos(π/2 - θ) in radians.
No, it is exclusively a noun (and can be used attributively as an adjective, e.g., 'cofunction identity').
No. Despite the prefix 'co-' suggesting cooperation, its meaning is strictly confined to the mathematical relationship described.
The stress is on the second syllable: co-FUNC-tion. The first syllable sounds like 'co' in 'co-operate' (/kəʊ/ in RP, /koʊ/ in GenAm).
A function whose value for a given angle equals the value of the corresponding trigonometric function of the complementary angle.
Cofunction is usually technical / academic in register.
Learning
Memory Aids
Mnemonic
COfunction works with the COmplementary angle. Sine and Cosine are COfunctions (Sine(θ) = Cosine(90°-θ)).
Conceptual Metaphor
Mathematical partnership; a functional pair linked through complementary roles (like two sides of the same coin).
Practice
Quiz
In which field is the term 'cofunction' exclusively used?