What is COTH x equal to?

1 tanh
coth ⁡ x = 1 tanh ⁡ x \coth x =\dfrac{1}{\tanh x} cothx=tanhx1​ sech x = 1 cosh ⁡ x \text{sech}\, x =\dfrac{1}{\cosh x} sechx=coshx1​

What is Tanh equal to?

tanh(x)=ex+e−xex−e−x ⁡ hyperbolic tangent of x is equal to the fraction with numerator e to the x th power plus e raised to the negative x power and denominator e to the x th power minus e raised to the negative x power.

What is Sinh x cosh x is equal to?

and the hyperbolic sine is the function sinhx=ex−e−x2. Notice that cosh is even (that is, cosh(−x)=cosh(x)) while sinh is odd (sinh(−x)=−sinh(x)), and coshx+sinhx=ex. Also, for all x, coshx>0, while sinhx=0 if and only if ex−e−x=0, which is true precisely when x=0.

What is COTH in math?

Coth is the hyperbolic cotangent function, which is the hyperbolic analogue of the Cot circular function used throughout trigonometry. Coth[α] is defined as the ratio of the corresponding hyperbolic cosine and hyperbolic sine functions via .

Is tanh the same as tan 1?

Tanh is the hyperbolic tangent function, which is the hyperbolic analogue of the Tan circular function used throughout trigonometry. Tanh[α] is defined as the ratio of the corresponding hyperbolic sine and hyperbolic cosine functions via . The inverse function of Tanh is ArcTanh.

How do you calculate coth on a calculator?

Menu Location

1. Press 2nd MATH to enter the MATH menu.
2. Press C to enter the Hyperbolic submenu.
3. Press 6 to select coth(.

Is tanh equal to Sinh cosh?

tanh 0 = sinh 0 cosh 0 = 0 1 = 0 .

Is Tanh the same as tan 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.

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.