Chapter 2: Q36P (page 71)

Find each of the following in the x + iyform and check your answers by computer.
$s i n h (1 + \frac{i π}{2})$

Short Answer

Expert verified

The x + iy form of the given equation $s i n h (1 + \frac{iπ}{2})$ is 1.543 i .

Step by step solution

Given Information.

The given expression is $s i n h (1 + \frac{iπ}{2})$ .

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.

Write in the form of .

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

Consider the following values.

$x = 1 y = \frac{π}{2}$

sinh(x + yi) = sinh (x)cos(y)+ icosh(x)sinh(y)

Put the value.

$\sin h (1 + \frac{i π}{2}) = \sin h (1) \cos (\frac{π}{2}) + i \cos h (1) \sin (\frac{π}{2}) = 1.543 i$

Therefore, the x + iy form of the given equation $\sin h (1 + \frac{i π}{2})$ is 1.543 i.

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Find each of the following in the x + iyform and check your answers by computer.
$s i n h (1 + \frac{i π}{2})$

Short Answer

Step by step solution

Given Information.

Meaning of rectangular form.

Write in the form of .

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Find each of the following in the x + iyform and check your answers by computer.sinh(1+iπ2)

Short Answer

Step by step solution

Given Information.

Meaning of rectangular form.

Write in the form of .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Astrophysics

Physical Quantities And Units

Geometrical and Physical Optics

Linear Momentum

Oscillations

Magnetism

Study anywhere. Anytime. Across all devices.

Find each of the following in the x + iyform and check your answers by computer.
$s i n h (1 + \frac{i π}{2})$