Sinh calculator

Type x. The result is (eˣ − e⁻ˣ)/2. 0 gives 0. 1 gives 1.175201. −1 gives −1.175201.

One field. This is not sine of an angle. The calculator computes (e^a − e^(−a))/2. A fraction through six decimal places.

Input data

Results

Enter data and click Calculate.

How it works

Hyperbolic sine is sinh(x), not sin of an angle. The formula does not use a built-in sinh. It computes (e^a − e^(−a))/2. x = 0 gives 0. x = 1 gives 1.175201. x = −1 gives −1.175201.

The function is odd. A minus in x flips the sign. At these three values the result matches sinh, but the calculator stays with exp.

An empty field is a blank value and a blank. Hyperbolic cosine and hyperbolic tangent live next door. We do not overwrite the gold sine-of-an-angle card.

The header units switch does not multiply anything. 0 stays 0 whatever the label says.

0 is an integer, so the string 0. 1.175201 is six decimal places.

x = 0 gives 0. x = 1 gives 1.175201. x = −1 gives −1.175201.

Formula

sinh(x) = (eˣ − e⁻ˣ)/2

How to use

  1. Type x, for example 0.
  2. Click Calculate. sinh(0) comes out 0.
  3. 1 gives 1.175201. −1 gives −1.175201.
  4. This is not sine of an angle in degrees.
  5. cosh and tanh of that x live on the neighbouring cards.

x = 0 gives 0

sinh(x) is (eˣ − e⁻ˣ)/2. 0 gives 0. 1 gives 1.175201. −1 gives −1.175201.

Hyperbolic
sinh, not sin of an angle. sinh(0) = 0. sinh(1) = 1.175201.
sine
Here hyperbolic. −1 gives −1.175201. An odd function.
sinh
(e^a − e^(−a))/2. Not sinh. A fraction through six decimal places.

Examples

Example 1

  • x = 0

0

What is sinh(0)? 0. (e⁰ − e⁰)/2.

Example 2

  • x = 1

1.175201

What is sinh(1)? 1.175201. exp, not a built-in sinh.

Example 3

  • x = −1

-1.175201

What is sinh(−1)? −1.175201. Odd.

Related calculators

Common questions

What is sinh(0)?

0. (1−1)/2. An integer string.

What does hyperbolic sine mean?

sinh(x), (eˣ−e⁻ˣ)/2. Not sin of an angle.

What is sinh(1)?

The result is 1.175201. The calculator uses the exponential function, not a built-in sinh.

What is sinh(−1)?

−1.175201. An odd function.

Is this sinh?

No. The formula is (e^a − e^(−a))/2. At 1 the result matches.

What if the field is empty?

a blank value. The result stays blank.

Is this sin 0°?

No. Sine of an angle is on the sine page. Here sinh.

Does a fraction get six places?

Yes. 0 stays 0. 1.175201 has six digits.

Where is cosh?

On the hyperbolic cosine page. There you get cosh.

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.