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91Ó°ÊÓ

Find one or more values of each of the following complex expressions and compare with acomputer solution.

tanh(Ï€¾±4)

Short Answer

Expert verified

The value of tanh(Ï€¾±4)is, i .

Step by step solution

01

Given Information.

The given hyperbolic number is tanh(Ï€¾±4).

02

Definition of Complex Number.

The numbers that are presented in the form of x=iywhere, 'x'is real numbers and 'iy'is an imaginary number, those numbers are referred to as called Complex numbers.

03

Find the value of tanh(πi4) .

Use the following mentioned identities to solve the question.

sinhyi=isinycoshyi=cosytanhÏ€¾±4=sinhÏ€¾±4coshÏ€¾±4=sinhÏ€¾±4coshÏ€¾±4=i

Hence, the value of tanhÏ€¾±4isi.

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