Step 1 :

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4)

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(a)

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The complex number is $\"\"$ .

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The polar form of a complex number is

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$\"\"$

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Where $\"\"$ or $\"\"$ and $\"\"$ .

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Compare the above complex numbers, $\"\"$ .

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The absolute value of $\"\"$ ,

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Substitute $\"\"$ and $\"\"$ in r.

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$\"\"$

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The absolute value of $\"\"$ is $\"\"$ .

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Step 2:

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The argument is $\"\"$

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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The polar form of a complex number is $\"\"$

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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The polar form of a complex number is $\"\"$

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Step 3:

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(b)

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The complex number is $\"\"$ .

\

The polar form of a complex number is

\

$\"\"$

\

Where $\"\"$ or $\"\"$ and $\"\"$ .

\

Compare the above complex numbers, $\"\"$ .

\

The absolute value of $\"\"$ ,

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Substitue $\"\"$ in r.

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$\"\"$

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The absolute value of $\"\"$ is $\"\"$ .

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Step 4:

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The argument is $\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

The polar form of a complex number is $\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

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The polar form of a complex number is

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$\"\"$

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Step 5:

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5)

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The polar form of a complex number is $\"\"$ .

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Rewrite the above complex number is $\"\"$

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$\"\"$

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The rectangular form of a complex number is $\"\"$

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Solution :

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4)

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(a)

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The polar form of a complex number is $\"\"$

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(b)

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The polar form of a complex number is $\"\"$

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5)

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The rectangular form of a complex number is $\"\"$

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