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# cosecant

## Definitions

### from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun The reciprocal of the sine of an angle in a right triangle.
• noun The secant of the complement of a directed angle or arc.

### from The Century Dictionary.

• noun In trigonom., the secant of an angle or arc equal to the difference between a given angle or are (whose cosecant it is) and 90°; the secant of the complement of the given angle or arc. See complement.

### from the GNU version of the Collaborative International Dictionary of English.

• noun (Trig.) The secant of the complement of an arc or angle. See Illust. of functions.

• noun trigonometry In a right triangle, the reciprocal of the sine of an angle. Symbols: cosec, csc

• noun ratio of the hypotenuse to the opposite side of a right-angled triangle

## Etymologies

Sorry, no etymologies found.

## Support ## Examples

• Add together the secant of the Latitude, the cosecant of the P.D., the cosine of the Half Sum and the sine of the Difference (Table 44).

• After the creation of the universe, light speed declined following a curve approximating the curve of the cosecant squared.

Kiwiblog

• On this topic, it isn't completely clear to me why we make kids memorize what the secant, cosecant, and cotangent are.

ScienceBlogs Channel : Life Science

• If your calculator does not have keys for the cosecant (csc), secant (sec), or cotangent (cot) functions, ﬁ rst

• Graph of the secant function for values of x between -3 rad and 3 rad. is the same as the range of the cosecant function.

• They are known as the hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, and hyperbolic cotangent.

• If we are operating on some variable x, the arctangent of x is denoted tanÀ1 (x) or arctan (x) The inverse of the cosecant function is the arccosecant function.

• This should not come as a surprise, because the cosecant and secant functions are the reciprocals of the sine and cosine functions, respectively, and the sine and cosine are horizontally displaced by 1 = 4 cycle.