What is Tanh equal to?

sinhx=ex−e−x2 ⁡ The hyperbolic function coshx ⁡ is given by: coshx=ex+e−x2 ⁡ tanh t a n h is the ratio of sinhx ⁡ and coshx ⁡ . tanhx=sinhxcoshxtanhx=(ex−e−x2)÷(ex+e−x2)tanhx=(ex−e−x2)×(2ex+e−x)tanh=ex−e−xex+e−x ⁡ ⁡ ⁡ ⁡ x = ( e x − e − x 2 ) ÷ ( e x + e − x 2 ) tanh ⁡

What is COTH equal to?

coth(x) = 1/tanh(x) = ( ex + e-x)/( ex – e-x ) cosh2(x) – sinh2(x) = 1.

Is Tanh the same as cot?

30.2 Behavior. The hyperbolic tangent and hyperbolic cotangent functions are defined for all real values of their arguments, but each is restricted in its range. The hyperbolic tangent adopts values only within −1 ≤ tanh(x) ≤ 1, whereas the coth(x) function assumes all values ≤ −1 and ≥ +1.

How is Tanh calculated?

tanh ( x ) = sinh ( x ) cosh ( x ) = e 2 x − 1 e 2 x + 1 . tanh ( x ) = − i tan ( i x ) .

Is ArcTanh even or odd?

Hyperbolic Tangent Function is Odd.

Is Tanh and Arctan same?

As indicated in other answers, tan and tanh are related to the function exp whereas arctan and artanh are related to the function log, whereby the transition from trigonometric functions to hyperbolic ones lives in the complex domain.

What is the value of tanhx for a negative x?

tanhx ≈ −1 for large negative x. But sinhx is always greater than −coshx, so tanhx is always slightly greater than −1. It gets close to −1 as x gets very large and negative, but never reaches it. We can now sketch the graph of tanhx. Notice that tanh(−x) = −tanhx. y x tanh x 7 c mathcentre January 9, 2006

What is the formula for tanh x COTH?

tanh (x + kπi) = tanh x coth (x + kπi) = coth x RELATIONSHIP BETWEEN INVERSE HYPERBOLIC AND INVERSE TRIGONOMETRIC FUNCTIONS

What is the value of cosh x sech x tanh?

cosh (x + 2kπi) = cosh x sech (x + 2kπi) = sech x tanh (x + kπi) = tanh x coth (x + kπi) = coth x RELATIONSHIP BETWEEN INVERSE HYPERBOLIC AND INVERSE TRIGONOMETRIC FUNCTIONS

What is the relationship between sinhx and tanhx?

As x gets large, sinhx ≈ coshx, so tanhx gets close to 1: tanhx ≈ 1 for large x. But sinhx is always less than coshx, so tanhx is always slightly less than 1. It gets close to 1 as x gets very large, but never reaches it. As x gets large and negative, sinhx ≈ −coshx, so tanhx gets close to −1: tanhx ≈ −1 for large negative x.