Question

The period of cosh z is ……………...​

Answer 1

Step-by-step explanation:

Since cosz and sinz have period 2π, it follows from the identities cosh(iz) = cosz and sinh(iz) = isinz that coshz and sinhz have period 2πi. It also follows that coshz = 0 if and only if z = i(π/2 + nπ) where n ∈ Z, and sinhz = 0 if and only if z = inπ where n ∈ Z.

Answer 2

Answer:

Since cosz and sinz have period 2π, it follows from the identities cosh(iz) = cosz and sinh(iz) = isinz that coshz and sinhz have period 2πi. It also follows that coshz = 0 if and only if z = i(π/2 + nπ) where n ∈ Z, and sinhz = 0 if and only if z = inπ where n ∈ Z.

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