Which of the following exponential formulas relates to hyperbolic cosine?

\frac{e^{x} - e^{- x}}{2}

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\frac{e^{x} + e^{- x}}{e^{x} - e^{- x}}

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\frac{e^{x} - e^{- x}}{e^{x} + e^{- x}}

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\frac{e^{x} + e^{- x}}{2}

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Solution

The correct option is D $\frac{e^{x} + e^{- x}}{2}$
Hyperbolic cosine can be written as $cosh x = \frac{e^{x} + e^{- x}}{2}$
Hence option D is correct.

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