The
cosecant csc(A), or cosec(A), is the reciprocal of sin(A), i.e. the ratio of the length of the hypotenuse to the length of the
Kaynak: Trigonometric functionsHyperbolic
cosecant:operatorname csch,x left(sinh x
ight)^-1 frac 2 e^x - e^-x frac 2e^x e^ 2x - 1 frac 2e^-x 1 - e^-2x
Kaynak: Hyperbolic functionSine and
cosecant begin their period at 2 k − /2 (where k is an integer), finish it at 2 k + /2, and then reverse themselves over 2 k + /2
Kaynak: Inverse trigonometric functionsarccosec – inverse
cosecant function. (Also written as arccsc.) arccot – inverse cotangent function. arccsc – inverse
cosecant function
Kaynak: List of mathematical abbreviationswhere csch is the hyperbolic
cosecant , and sech is the hyperbolic secant They are named after the French mathematician Louis Poinsot .
Kaynak: Poinsot's spiralsCHO, a mnemonic used to teach trigonometry , showing that the
cosecant of an angle in a triangle is the ratio of the length of the
Kaynak: CHOThe same is true of secant and
cosecant and of tangent and cotangent: | secleft(fracpi 2 - A
ight) csc(A) | cscleft(fracpi 2
Kaynak: CofunctionJeake also wrote on mathematics, and made the first recorded use of the terms "addend "
cosecant and "proper fraction His principal
Kaynak: Samuel Jeake(this angle can be labeled φ π/2 − θ) has cotangent equal to the length of the other leg, and
cosecant equal to the length of the hypotenuse.
Kaynak: Pythagorean trigonometric identityThe reciprocals of these functions are named the
cosecant (csc or cosec), secant (sec), and cotangent (cot), respectively. csc Afrac 1sin
Kaynak: TrigonometryReciprocal: The reciprocal of sine is
cosecant, i.e. the reciprocal of sin(A) is csc(A), or cosec(A).
Cosecant gives the ratio of the
Kaynak: Sine929 AD) discovered the reciprocal functions of secant and
cosecant, and produced the first table of
cosecants for each degree from 1° to 90°.
Kaynak: History of trigonometrySpecifications : Antenna: Dual beam with super
cosecant² pattern. RPM: 6, 12 rpm. Beamwidth : 15°, 18° (vertical) Power output: 200 kW (peak)
Kaynak: JY-9 Radar