How to Calculate Sinh

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Sinh, also called the hyperbolic sine, is a mathematical function of a hyperbola, which is a pair identical but opposite outward opening curves connected by the measurements between them. Sinh is important function of curves in engineering and physics. The computation of sine is dependent on the math constant e, also called Euler's number, which is a lengthy value often truncated as 2.7183. The equation for sinh, where sinh = (e^x - e^-x) / 2, can be quickly solved because most scientific calculators have an "e^x" specified function.

Things You'll Need

  • Scientific calculator
  • Calculate e^x, which is e to the power of x, with your calculator. For this example, let x be 3, so e^3 is approximately 20.0855.

  • Calculate e^-x, which is e to the power of negative x, with your calculator. Continuing this example, e^-3 is 1/(e^3), which is approximately 1/20.0855 or 0.00498.

  • Subtract e^x by e^-3. Continuing this example, 20.0855 minus 0.00498 equals 20.0357.

  • Halve the difference from Step 3. Division of 20.0357 by 2 equals 10.0179.

Tips & Warnings

  • Check your calculator before you begin for it might have its own sinh function.

References

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