cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of...

(/ˈkɒθ, ˈkoʊθ/), hyperbolic secant "sech" (/ˈsɛtʃ, ˈʃɛk/), hyperbolic cosecant "csch" or "cosech" (/ˈkoʊsɛtʃ, ˈkoʊʃɛk/) corresponding to the derived trigonometric...

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...

arccosec – inverse cosecant function. (Also written as arccsc.) arccot – inverse cotangent function. arccsc – inverse cosecant function. (Also written...

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...

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...

inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse hyperbolic cotangent. They are...

and squared cosecant functions: the logarithmic derivative of the sine is the cotangent, whose derivative is negative the squared cosecant. The Weierstrass...

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...

The following is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric...

See below under Mnemonics. The reciprocals of these ratios are named the cosecant (csc), secant (sec), and cotangent (cot), respectively: csc ⁡ A = 1 sin...

The following is a list of integrals (anti-derivative functions) of hyperbolic functions. For a complete list of integral functions, see list of integrals...

{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...

leg, and cosecant equal to the length of the hypotenuse. In that way, this trigonometric identity involving the cotangent and the cosecant also follows...

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...

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....

Diagram of a typical 2D radar rotating cosecant squared antenna pattern....

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...

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)...

{\displaystyle {\frac {\tan \alpha \pm \tan \beta }{1\mp \tan \alpha \tan \beta }}} Cosecant csc ⁡ ( α ± β ) {\displaystyle \csc(\alpha \pm \beta )} = {\displaystyle...

trigonometric functions – sine, cosine, tangent, cotangent, secant, and cosecant, as well as archaic functions like versine and exsecant – can be defined...

sines and tangents at 15' intervals. He also introduced the secant and cosecant functions, as well studied the interrelations between the six trigonometric...

can confirm the above result using a standard method of evaluating the cosecant integral by multiplying the numerator and denominator by csc ⁡ x − cot...

(CHO cell) CHO, a mnemonic used to teach trigonometry, showing that the cosecant of an angle in a triangle is the ratio of the length of the hypotenuse...

The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral...

functions Trigonometric functions: sine, cosine, tangent, cotangent, secant, cosecant, exsecant, excosecant, versine, coversine, vercosine, covercosine, haversine...

{\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...

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...

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...

[ 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...