Check the solution to "Find the numerical value of each expression. sec⁡h0" - Plainmath

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Lennie Carroll

Answered question

2021-10-14

Find the numerical value of each expression.

\sec h 0

Answer & Explanation

d2saint0

Skilled2021-10-15Added 89 answers

Remember that:
$\sec h x = \frac{1}{cosh x} = \frac{1}{(e^{x} + \frac{e^{- x}}{2}}}$
$\sec h x = \frac{2}{e^{x} + e^{- x}}$
Substitute x=0 in the avobe equation
$\sec h 0 = \frac{2}{e^{0} + e^{- 0}} = \frac{2}{1 + 1} = 1$
Result:
$\sec h 0 = 1$

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