Explore direct, reciprocal, and inverse hyperbolic outputs. Review formulas, export results, and compare values quickly. Built for clear practice, checking, learning, and classroom support.
This tool returns direct, reciprocal, inverse, and identity-based hyperbolic results from one input.
| x | sinh(x) | cosh(x) | tanh(x) |
|---|---|---|---|
| 0 | 0.000000 | 1.000000 | 0.000000 |
| 0.5 | 0.521095 | 1.127626 | 0.462117 |
| 1 | 1.175201 | 1.543081 | 0.761594 |
| 2 | 3.626860 | 3.762196 | 0.964028 |
sinh(x) = (ex - e-x) / 2
cosh(x) = (ex + e-x) / 2
tanh(x) = sinh(x) / cosh(x)
coth(x) = cosh(x) / sinh(x)
sech(x) = 1 / cosh(x)
csch(x) = 1 / sinh(x)
Main identity: cosh2(x) - sinh2(x) = 1
Inverse functions are calculated only where their domains are valid.
Hyperbolic functions appear in algebra, calculus, engineering, and physics. They describe growth, symmetry, and curve behavior. This calculator helps you evaluate common hyperbolic expressions quickly. It is useful for homework, exam practice, and routine verification.
The tool computes sinh, cosh, tanh, coth, sech, and csch from one input value. It also returns inverse hyperbolic outputs when the domain is valid. This saves time and reduces manual mistakes. You can inspect both direct results and inverse results in one place.
Hyperbolic identities are important for simplification and proof work. A common identity is cosh²(x) minus sinh²(x) equals 1. The calculator shows this check so you can compare theory with numeric output. That makes the page helpful for learning and checking.
Students can test examples from textbooks or class notes. Teachers can create sample values for worksheets and guided practice. Because the page includes an example data table, it also helps with pattern recognition. You can see how sinh, cosh, and tanh change as x increases.
The CSV export is useful when you want to move results into spreadsheets or reports. The PDF option supports printing and record keeping. These features make the page more practical than a simple answer box. They are especially helpful for assignments, tutorials, and revision sheets.
This calculator follows a simple single-column page layout. The result appears below the header and above the form after submission. That keeps the workflow clear and efficient. The design is minimal, readable, and easy to adapt for larger maths collections or educational sites.
It calculates direct hyperbolic functions, reciprocal hyperbolic functions, inverse hyperbolic functions, and a core identity check from one numeric input.
Yes. It returns asinh, acosh, atanh, acoth, asech, and acsch whenever the entered value meets the required domain conditions.
Some hyperbolic inverse and reciprocal functions only work on restricted input ranges. When the input breaks that rule, the calculator marks the result as not defined.
The page checks the standard identity cosh²(x) - sinh²(x) = 1. This is useful for learning, verification, and algebra review.
Yes. Negative real inputs are allowed. The tool will calculate every valid direct, reciprocal, and inverse result that matches the domain rules.
CSV export helps you save results for spreadsheet analysis, homework files, class examples, or later comparison with manual solutions.
Press the PDF button to open your browser print flow. From there, choose the save as PDF option and store the calculation.
Yes. It combines formulas, examples, result tables, exports, and short explanations. That makes it useful for practice, revision, and teaching support.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.