Skip to main content
arc cosecant

arc cosecant

9.9
To give the angle in trigonometry whose cosecant equals a number
  • noun
  • /ɑrk koʊˈsiːkənt/
  • Specialized
translation icon : arco cosecante
  • Finding the arc cosecant of a value helps determine the original angle in trigonometric problems.

Examples

  • Can you calculate the arc cosecant of 2?

  • In advanced mathematics, the arc cosecant is often written as arccsc(x).

  • The calculator does not have a dedicated button for the arc cosecant function.

  • The arc cosecant function is essential in trigonometry.

  • To find the angle in a right triangle, you can use the arc cosecant of the opposite side's length divided by the hypotenuse.

  • In trigonometry, the arc cosecant function helps us determine angles when the cosecant value is known.

  • Most scientific calculators include the arc cosecant function for converting cosecant values back into angles.

Synonyms

arccosecant
vsarc cosecant
  • Specialized
9.9

An angle whose sine equals 1 divided by a given number

is written as two separate words for the same function
inverse cosecant
vsarc cosecant
  • Specialized
9.9

An angle whose cosecant equals a given number

is the two-word technical name for the same function

Surface Forms

arc cosecant singular
arc cosecants plural

Morphology

arc + cosecant

The phrase uses a conventional mathematical formation where 'arc' marks the inverse of a trigonometric function, so a learner who knows 'cosecant' and that 'arc' is used in math (e.g., arcsin, arccos) can infer the meaning. However, the ordinary sense of 'arc' (a curved line) does not transparently convey 'inverse function' to a general B1 learner, and the usage is domain-specific rather than following everyday compositional patterns.

Etymology

The term arc cosecant combines arc (a part of a circle that points to an angle) and cosecant (the number you get when you divide 1 by the sine). So arc cosecant means 'find the angle whose cosecant is a given number'.