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Chapter 2: Q35P (page 71)

Find each of the following in the x + iyform and check your answers by computer.

cosh(i蟺+2)

Short Answer

Expert verified

The x + iy form of the given equationcosh(i蟺+2) is -3.76 .

Step by step solution

01

Given Information.

The given expression iscosh(i蟺+2)i .

02

Meaning of rectangular form.

Represent the complex number in rectangular form means writing the given complex number in the form of x + iy in which x is the real part and y is the imaginary part.

03

Write in the form of x + iy .

Use the formula cosh(x + y) = cosh xcoshy+ sinh xsinh yto break the given question.

Let us suppose.

x =2

y =蟺

cosh(x + y) =coshxcoshy+ sinhxsinhy

Put the values.

coshi蟺+2i=cosh2cos蟺+isinh(2)sin蟺=-3.76

Therefore, the x + iy form of the given equationcoshi蟺+2i is -3.76.

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