Chapter 2: Q18P (page 74)

Evaluate each of the following in x+ iyform, and compare with a computer solution.
$c o s (2 i I n i)$

Short Answer

Expert verified

The value of is $\cos (2 iIni) is - 1$ .

Step by step solution

Given Information.

The given number is $\cos (2 i I n i)$ .

Definition of Complex Number.

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

Find the value of cos(2i In i).

Use the identity cos $(i z)$ = $\cosh (z)$ .

$\cos (2 i In i) = \cosh (2 In i)$

role="math" localid="1658814707250" $= \cos h [2 (I n 1 + i (\frac{π}{2} \pm 2 n π))] = \cos h [2 i (\frac{π}{2} \pm 2 n π)] = \cos (2 i I n i) = - 1$

Hence, the value of is $= \cos (2 i I n i) = - 1$ .

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Evaluate each of the following in x+ iyform, and compare with a computer solution.
$c o s (2 i I n i)$

Short Answer

Step by step solution

Given Information.

Definition of Complex Number.

Find the value of cos(2i In i).

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Evaluate each of the following in x+ iyform, and compare with a computer solution.cos(2iIni)

Short Answer

Step by step solution

Given Information.

Definition of Complex Number.

Find the value of cos(2i In i).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

Linear Momentum

Rotational Dynamics

Modern Physics

Torque and Rotational Motion

Fluids

Study anywhere. Anytime. Across all devices.

Evaluate each of the following in x+ iyform, and compare with a computer solution.
$c o s (2 i I n i)$