$(cos h z)^{2} + (sin h z)^{2}$ equals

1

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None of these

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Solution

The correct option is C None of these
$(s i n h z)^{2} + (c o s h z)^{2}$
$= \frac{1}{4} [e^{2 z} + e^{- 2 z} - 2 + e^{2 z} + e^{- 2 z} + 2]$
$= \frac{1}{4} [2 (e^{2 z} + e^{- 2 z})]$
$= \frac{1}{2} [e^{2 z} + e^{- 2 z}]$
$= c o s h 2 z$

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