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Engineering function

IMSECH

Returns the hyperbolic secant of a complex number.

Rarely usedDifficulty 1550 · AdvancedUsage rank #509 of 520
Practice · 2 questions →

When to use it

The hyperbolic secant of a complex number.

The shape of it

Syntax
=IMSECH(inumber)

Worked examples

  • Typical

    =IMSECH("4+3i") → -0.0362534969158689-0.00516434460775318i

    A typical result.

  • Zero

    =IMSECH("0") → 1

    At zero.

  • Pure imaginary

    =IMSECH("i") → 1.85081571768093

    sech(i) is 1/cos(1).

Worth knowing

  • 1/IMCOSH.
  • Introduced in Excel 2013.
  • Result is text.

Where it goes wrong

  • #NUM! where cosh is zero.
  • #NAME? in Excel 2010 and earlier.

Related

CONVERTBIN2DECDEC2BINHEX2DECDEC2HEXDELTA

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