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cosec

cosec

9.4
The number found by dividing a right triangle's hypotenuse by its opposite side
  • noun
  • /ˈkoʊsɛk/
  • Indian
translation icon : cosecante
  • In trigonometry, the cosec of an angle is the reciprocal of the sine, defined as the ratio of the hypotenuse to the opposite side in a right triangle.

Examples

  • So really the cosecant graph is going to look something like this, OK, Really that's what the cosec crank graph looks like.

  • Taking the square root of both sides, we get hyperbolic cosec into view equals plus or minus.

  • To find the value of cosec 30 degrees, you divide the length of the hypotenuse by the length of the opposite side.

  • The formula for the cosec function helps students understand the relationships between angles and sides in right-angled triangles.

Synonyms

cosecant
vscosec
  • Specialized
1 9.9

A trigonometry function equal to the hypotenuse divided by the opposite side

is the shortened written form used as an abbreviation for that function

Surface Forms

cosec singular
cosecs plural

Etymology

Cosec is short for cosecant, made from co- meaning 'the other' and secant which comes from an old word for 'to cut' and is the same idea behind the common word section. In trigonometry the co- part shows it relates to the other angle, and cosec gives the ratio 'hypotenuse to opposite', so it is the reciprocal of 'sine'.