Vipul: /* Definition */

2011-08-28T04:14:18Z

Definition

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	# It is given explicitly by the expression:		# It is given explicitly by the expression:

	<math>\sinh^{-1} x := \ln\|x + \sqrt{~~1 +~~ x^2}\|</math>		<math>\sinh^{-1} x := \ln\|x + \sqrt{x^2 + 1}\|</math>

Vipul: Created page with "{{particular function}} ==Definition== The '''inverse hyperbolic sine function''', denoted $\sinh^{-1}$ , is defined in the following equivalent ways: # It is the [[..."

2011-08-28T04:13:29Z

Created page with "{{particular function}} ==Definition== The '''inverse hyperbolic sine function''', denoted <math>\sinh^{-1}</math>, is defined in the following equivalent ways: # It is the [[..."

New page

{{particular function}}

==Definition==

The '''inverse hyperbolic sine function''', denoted <math>\sinh^{-1}</math>, is defined in the following equivalent ways:

# It is the [[defining ingredient::inverse function]] to the [[defining ingredient::hyperbolic sine function]], i.e., <math>\sinh^{-1}x</math> is defined as the unique real number <math>y</math> such that <math>\sinh y = x</math>.
# It is given explicitly by the expression:

<math>\sinh^{-1} x := \ln|x + \sqrt{1 + x^2}|</math>

Inverse hyperbolic sine function - Revision history

Vipul: /* Definition */

Vipul: Created page with "{{particular function}} ==Definition== The '''inverse hyperbolic sine function''', denoted \sinh^{-1}, is defined in the following equivalent ways: # It is the [[..."

Vipul: Created page with "{{particular function}} ==Definition== The '''inverse hyperbolic sine function''', denoted $\sinh^{-1}$ , is defined in the following equivalent ways: # It is the [[..."