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cosecant

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Cosecant | Definition, Formulas, & Facts - Britannica
Cosecant, one of the six trigonometric functions, which, in a right triangle ABC, for an angle A, is csc A = length of hypotenuse length of side opposite angle ... www.britannica.com
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Trigonometric functions - Wikipedia
Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric functions has ... en.wikipedia.org
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Formula, Graph, Domain, Range | Cosecant Function - Cuemath
The cosecant function is the reciprocal of the trigonometric function sine. Cosecant is one of the main six trigonometric functions and is abbreviated as csc x ... www.cuemath.com
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cosecant
cosecant Trig. (kəʊˈsiːkənt) [f. co- prefix 4 + secant. The L. cosecans was used a 1576 by Rheticus, Opus Palatinum (1596). F. cosécante.] The secant of the complement of a given angle. (Abbreviated cosec.)1706 in Phillips, Co-secant. 1807 Hutton Course Math. II. 3 The radius, cotangent, and cosecan... Oxford English Dictionary
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Cosecant -- from Wolfram MathWorld
The cosecant cscz is the function defined by where sinz is the sine. The cosecant is implemented in the Wolfram Language as Csc[z]. mathworld.wolfram.com
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Cosecant (csc) - Trigonometry function - Math Open Reference
In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. www.mathopenref.com
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Cosecant squared antenna
A cosecant squared antenna, sometimes known as a constant height pattern, is a modified form of parabolic reflector used in some radar systems. The name refers to the fact that the amount of energy returned from a target drops off with the square of the cosecant of the angle between the radar and wikipedia.org
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Cosecant Function - Expii
Cosecant is the reciprocal of sine! To graph the cosecant function, let's first try to graph the sine function, y=3 sin (4x). www.expii.com
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THE SECANT AND COSECANT FUNCTIONS - trigonometry
The cosecant is the reciprocal of the sine. Wherever the sine is zero, the cosecant will be undefined, so there will be a vertical asymptote. Wherever ... trigonometrywithereza.wordpress.com
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Cosecant: Definitions and Examples - Club Z! Tutoring
It is the reciprocal of the sine function and is defined as the ratio of the length of the hypotenuse of a right-angled triangle to the length of its opposite ... clubztutoring.com
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Trigonometric Functions | Cotangent, Secant & Cosecant - Lesson
Because cosecant is the reciprocal of sine, the cosecant formula is csc ( θ ) = H O . So, to find the cosecant in terms of the sides of a right triangle, ... study.com
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cosecant
cosecant/ˌkəuˈsi:kənt; ko`sikənt/ n(abbr 缩写 cosec) (mathematics 数) in a right-angled triangle, the ratio of the length of the hypotenuse to that of the opposite side 余割. 牛津英汉双解词典
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Integrating Cosecant by Multiplying it by $\csc(x)+\cot(x)$ From what I’ve seen you integrate cosecant by multiplying it by $\csc(x)+\cot(x)$: How do you know to multiply it by this?
$$\int\frac{1}{\sin{x}}dx=\int\frac{\sin{x}}{\sin^2x}dx=\int\frac{\sin{x}}{1-\cos^2x}dx=$$ $$=-\frac{1}{2}\int\left(\frac{1}{1+\cos{x}}+\frac{1}{1-\cos{x}}\right)d(\cos{x})=$$ $$=-\ln\frac{1+\cos{x}}{1-\cos{x}}+C=\ln\frac{1-\cos{x}}{1+\cos{x}}+C.$$
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Should cosecant be defined as $\csc \theta = \frac{1}{\sin \theta}$, specifying the constraint: $\sin \theta \neq 0$? I'm studying trigonometry on my own, and I keep noticing that the trigonometric functions are never...
Those are the same thing. Either it's undefined as part of the definition (i.e. part of $\mathbb{R}$ is not in the domain) or it's undefined as a consequence of $\frac{1}{0}$ being undefined. It's just like how $f(x)=\frac{1}{2-x}$ is completely clear without a note saying "but x can't be 2!" If a f...
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How do you write the cosecant function of a negative number as the trigonometric function of a positive number? More specifically, how would you write $\csc(-2\pi/5)$ as the trigonometric function of a positive number?
**Hint:** Recall that $\sin(x)=\sin(x+2k\pi)$ for any integer $k$. Let $x=-2\pi/5$ and let $k=1$.
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