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Hyperbolic functions

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

Poinsot's spirals

spirals represented by the polar equations r = a csch ⁡ ( n θ ) {\displaystyle r=a\ \operatorname {csch} (n\theta )} r = a sech ⁡ ( n θ ) {\displaystyle

Transmission line

= y 42 = − 1 2 ( csch ⁡ ( γ e l ) Z 0 e + csch ⁡ ( γ o l ) Z 0 o ) y 14 = y 41 = y 23 = y 32 = − 1 2 ( csch ⁡ ( γ e l ) Z 0 e − csch ⁡ ( γ o l ) Z 0 o

Lists of integrals

{sech} x+C} ∫ csch ⁡ x coth ⁡ x d x = − csch ⁡ x + C {\displaystyle \int \operatorname {csch} x\,\operatorname {coth} x\,dx=-\operatorname {csch} x+C} ∫ arcsinh

Inverse hyperbolic functions

In mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in

Angle of parallelism

,} tan ⁡ Π ( a ) = csch ⁡ a = 1 sinh ⁡ a = 2 e a − e − a , {\displaystyle \tan \Pi (a)=\operatorname {csch} a={\frac {1}{\sinh a}}={\frac

Laura Rauseo

São Paulo, daughter of Juliana Rosa Csch and Marcelo Rauseo, middle sister of Henrique Csch Rauseo and Diego Csch Rauseo. She began her acting career

List of trigonometric identities

( i x ) cot ⁡ x = i coth ⁡ ( i x ) sec ⁡ x = sech ⁡ ( i x ) csc ⁡ x = i csch ⁡ ( i x ) {\displaystyle {\begin{aligned}\sin x&=-i\sinh(ix)\\\cos x&=\cosh(ix)\\\tan

List of integrals of hyperbolic functions

(\sinh x)+C} ∫ csch x d x = ln ⁡ | tanh ⁡ x 2 | + C = ln ⁡ | coth ⁡ x − csch ⁡ x | + C , for x ≠ 0 {\displaystyle \int \operatorname {csch} \,x\,dx=\ln