Trigonometric functions (redirect from Cosecant)
cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of...
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Hyperbolic functions (redirect from Hyperbolic cosecant)
(/ˈkɒθ, ˈkoʊθ/), hyperbolic secant "sech" (/ˈsɛtʃ, ˈʃɛk/), hyperbolic cosecant "csch" or "cosech" (/ˈkoʊsɛtʃ, ˈkoʊʃɛk/) corresponding to the derived trigonometric...
29 KB (4,822 words) - 22:02, 30 August 2024
Inverse trigonometric functions (redirect from Arc Cosecant)
are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain an angle from any of the angle's trigonometric...
77 KB (10,755 words) - 10:01, 4 September 2024
arccosec – inverse cosecant function. (Also written as arccsc.) arccot – inverse cotangent function. arccsc – inverse cosecant function. (Also written...
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A cosecant squared antenna, sometimes known as a constant height pattern, is a modified form of parabolic reflector used in some radar systems. It is shaped...
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Inverse hyperbolic functions (redirect from Inverse hyperbolic cosecant)
inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse hyperbolic cotangent. They are...
27 KB (4,200 words) - 22:21, 25 August 2024
Exsecant (redirect from Exterior cosecant)
Atlas of Functions (2nd ed.). Springer. Ch. 33, "The Secant sec(x) and Cosecant csc(x) functions", §33.13, p. 336. doi:10.1007/978-0-387-48807-3. ISBN 978-0-387-48806-6...
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and squared cosecant functions: the logarithmic derivative of the sine is the cotangent, whose derivative is negative the squared cosecant. The Weierstrass...
5 KB (934 words) - 14:37, 24 February 2024
See below under Mnemonics. The reciprocals of these ratios are named the cosecant (csc), secant (sec), and cotangent (cot), respectively: csc A = 1 sin...
50 KB (4,939 words) - 10:48, 2 September 2024
The following is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric...
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For example, the multiplicative inverse 1/(sin x) = (sin x)−1 is the cosecant of x, and not the inverse sine of x denoted by sin−1 x or arcsin x. The...
15 KB (2,359 words) - 21:49, 29 June 2024
List of integrals of hyperbolic functions (section Integrals of hyperbolic tangent, cotangent, secant, cosecant functions)
The following is a list of integrals (anti-derivative functions) of hyperbolic functions. For a complete list of integral functions, see list of integrals...
6 KB (2,004 words) - 16:57, 18 December 2023
angle equals the cotangent of its complement, and its secant equals the cosecant of its complement.) The prefix "co-" in the names of some trigonometric...
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leg, and cosecant equal to the length of the hypotenuse. In that way, this trigonometric identity involving the cotangent and the cosecant also follows...
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sin−1(x), sometimes interpreted as (sin(x))−1 = 1/sin(x) = csc(x) or cosecant of x, the multiplicative inverse (or reciprocal) of the trigonometric function...
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{x^{2}-1}}} (The absolute value in the expression is necessary as the product of cosecant and cotangent in the interval of y is always nonnegative, while the radical...
19 KB (3,678 words) - 02:25, 20 June 2024
sines and tangents at 15' intervals. He also introduced the secant and cosecant functions, as well studied the interrelations between the six trigonometric...
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trigonometric functions – sine, cosine, tangent, cotangent, secant, and cosecant, as well as archaic functions like versine and exsecant – can be defined...
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Quadrant 2 (angles from 90 to 180 degrees, or π/2 to π radians): Sine and cosecant functions are positive in this quadrant. Quadrant 3 (angles from 180 to...
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case. However, with a 3D radar this data is obtained by using either a cosecant squared pattern or a scanning on multiple angles with a pencil beam. The...
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Diagram of a typical 2D radar rotating cosecant squared antenna pattern....
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can confirm the above result using a standard method of evaluating the cosecant integral by multiplying the numerator and denominator by csc x − cot...
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45° are found on the left page, angles greater than 45° on the right. Cosine, cotangent and cosecant are found by using the entry on the opposite page....
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{\displaystyle {\frac {\tan \alpha \pm \tan \beta }{1\mp \tan \alpha \tan \beta }}} Cosecant csc ( α ± β ) {\displaystyle \csc(\alpha \pm \beta )} = {\displaystyle...
81 KB (12,166 words) - 01:40, 28 August 2024
the "co" in "cosine"): The same is true of secant (Latin: secans) and cosecant (Latin: cosecans, secans complementi) as well as of tangent (Latin: tangens)...
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functions Trigonometric functions: sine, cosine, tangent, cotangent, secant, cosecant, exsecant, excosecant, versine, coversine, vercosine, covercosine, haversine...
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ratio between the sine and cosine functions. The reciprocal of sine is cosecant, which gives the ratio of the hypotenuse length to the length of the opposite...
55 KB (6,961 words) - 09:09, 4 September 2024
List of integrals of inverse hyperbolic functions (section Inverse hyperbolic cosecant integration formulas)
The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral...
6 KB (1,857 words) - 13:07, 3 December 2023
{\displaystyle r=a\ \operatorname {sech} (n\theta )} where csch is the hyperbolic cosecant, and sech is the hyperbolic secant. They are named after the French mathematician...
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[ 0 , π ] {\displaystyle [0,\pi ]\!} and when the range of the inverse cosecant is [ − π 2 , π 2 ] . {\displaystyle \left[-{\frac {\pi }{2}},{\frac {\pi...
16 KB (2,763 words) - 10:37, 26 June 2024