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Chapter 2: Q33P (page 71)

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

tani

Short Answer

Expert verified

The x + iy form of the given equation taniis 0.76 i

Step by step solution

01

Given Information.

The given expression is tani.

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.

Let us suppose that, u = tani.

It is known that

tan (zi) = i tanh (z)

Substitute the value.

u = itanh (1)

=0.76 i

Therefore, the x + iy form of the given equation tan iis 0.76 i.

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Most popular questions from this chapter

For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly find x,y,r,胃 in your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number.

2-2i.

Find each of the following in rectangular a+bz form ifz=2if ; if z=x+yz .

role="math" localid="1658486330935" 1z+1.

Solve for all possible values of the real numbers xand yin the following equations.

x+iy=3i-ix

Solve for all possible values of the real numbers xand yin the following equations. (2x-3y-5)+i(x+2y+1)=0

Find each of the following in rectangular a+bz form if z=2-3t ; if z=x+yz.

zz.
See all solutions

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