Chapter 2: Q31P (page 71)

Find each of the following in the x + iyform and check your answers by computer.
$\sinh (\ln 2 + \frac{i π}{3})$

Short Answer

Expert verified

The x + iy form of the given equation is $\sinh (\ln 2 + \frac{i π}{3})$

Step by step solution

Given Information.

The given expression is $\sinh (\ln 2 + \frac{i π}{3})$ .

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 x + iy.

Use the formula $\sin h (x + y) = \sin h x h \cos y + \cos h x \sin h y$ to break the given question.

Consider the following values.

$x = \ln (2) y = \frac{π}{3}$

\sin h (x + y i) = \sin h (x) c p s (y) + i \cos h (x) \sin (y)

Put the value.

$\sin h (\ln 2 + \frac{i π}{3}) = \sin h (\ln 2) \cos (\frac{π}{3}) + i \cos h (\ln 2) \sin (\frac{π}{3}) = 0.375 + 1.083 i$

Therefore, the x + iy form of the given equation is $\sin h (\ln 2 + \frac{i π}{3}) is 0.375 + 1.083 i$

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Find each of the following in the x + iyform and check your answers by computer.
$\sinh (\ln 2 + \frac{i π}{3})$

Short Answer

Step by step solution

Given Information.

Meaning of rectangular form.

Write in the form of x + iy.

One App. One Place for Learning.

Most popular questions from this chapter

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Find each of the following in the x + iyform and check your answers by computer.sinh(ln2+iπ3)

Short Answer

Step by step solution

Given Information.

Meaning of rectangular form.

Write in the form of x + iy.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

Energy Physics

Radiation

Physics of Motion

Circular Motion and Gravitation

Further Mechanics and Thermal Physics

Study anywhere. Anytime. Across all devices.

Find each of the following in the x + iyform and check your answers by computer.
$\sinh (\ln 2 + \frac{i π}{3})$