American Heritage® Dictionary of the English Language, Fourth Edition
- n. The reciprocal of the sine of an angle in a right triangle.
- n. The secant of the complement of a directed angle or arc.
Century Dictionary and Cyclopedia
- n. 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. It is the ratio to the radius of the distance from the center to the intersection of one side of the angle with the tangent to the circle parallel with the other side; or, if the radius of the circle be taken as unity, it is this distance itself. Like all other trigonometrical functions, the cosecant is generally expressed numerically, in terms of the radius as unity. See
trigonometrical functions, under trigonometrical. Abbreviated cosec.
GNU Webster's 1913
- n. (Trig.) The secant of the complement of an arc or angle. See
- n. ratio of the hypotenuse to the opposite side of a right-angled triangle
“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.”
“On this topic, it isn't completely clear to me why we make kids memorize what the secant, cosecant, and cotangent are.”
“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.”
“SOLUTION 4-1 Remember that the hyperbolic cosecant (csch) is the reciprocal of the hyper - bolic sine (sinh).”
“The cosecant and secant functions have the same general shape, but they are shifted by 90 (/2 rad), or 1 = 4 cycle, with respect to each other.”
“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.”
“If your calculator does not have keys for the cosecant (csc), secant (sec), or cotangent (cot) functions, ﬁ rst”
“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.”
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