Example 1
- x = 0
1
What is cosh(0)? 1. cosh, an integer string.
Cosh calculator
Type x. The result is cosh(x). 0 gives 1. 1 gives 1.543081. 2 gives 3.762196.
One field. This is not cosine of an angle. cosh(0) = 1. A fraction goes through six decimal places. Empty leaves a blank.
Results
Enter data and click Calculate.
How it works
Hyperbolic cosine is cosh(x), not cos of an angle. The calculator computes cosh, and if that were missing, (eˣ+e⁻ˣ)/2. x = 0 gives 1. x = 1 gives 1.543081. x = 2 gives 3.762196.
There is one field, the id stays a, the formula name is x. A minus in x does not flip the sign: cosh is even, cosh(−1) is also 1.543081.
An empty field is a blank value and a blank. Hyperbolic sine and hyperbolic tangent live next door. The gold cosine-of-an-angle card is a different page and we do not touch it.
The header units switch does not multiply anything. 0 stays 1 whatever the label says.
1 is an integer, so the string 1. 1.543081 is six decimal places from cosh(1).
x = 0 gives 1. x = 1 gives 1.543081. x = 2 gives 3.762196.
Formula
cosh(x) = Math.cosh(x), fallback (eˣ + e⁻ˣ)/2
How to use
- Type x, for example 0.
- Click Calculate. cosh(0) comes out 1.
- 1 gives 1.543081. 2 gives 3.762196.
- This is not cosine of an angle in degrees.
- sinh and tanh of that x live on the neighbouring cards.
x = 0 gives 1
cosh(x) is the hyperbolic cosine. 0 gives 1. 1 gives 1.543081. 2 gives 3.762196.
- Hyperbolic
- cosh, not cos of an angle. cosh(0) = 1. cosh(1) = 1.543081.
- cosine
- Here hyperbolic. 2 gives 3.762196. −1 gives the same 1.543081.
- cosh
- cosh(x). Fallback (eˣ+e⁻ˣ)/2. An integer result as a string.
Examples
Example 2
- x = 1
1.543081
What is cosh(1)? 1.543081. six decimal places.
Example 3
- x = 2
3.762196
What is cosh(2)? 3.762196.
Related calculators
Common questions
What is cosh(0)?
The result is 1, because cosh(0) = 1.
What does hyperbolic cosine mean?
cosh(x), (eˣ+e⁻ˣ)/2. Not cos of an angle.
What is cosh(1)?
The result is 1.543081, to six decimal places from cosh.
What is cosh(2)?
3.762196.
Is cosh(−1) a minus?
No. The function is even. The same 1.543081.
What if the field is empty?
a blank value. The result stays blank.
Is this cos 0°?
No. Cosine of an angle is on the cosine page. Here cosh.
Does a fraction get six places?
Yes. 1 stays 1. 1.543081 has six digits.
Where is sinh?
On the hyperbolic sine page. There (eˣ−e⁻ˣ)/2.
Does a comma in 0.5 work?
Yes. 0.5 and 0,5 are the same x.
Knowledge sources
The calculator computes the same formula as the definition below.
Page updated in 2026.