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trapecia [35]
1 year ago
5

Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal places.

Mathematics
1 answer:
frozen [14]1 year ago
7 0

Given:

[8(cos30^o+isin30^o)][3(cos90^o+isin90^o)]

Required:

We need to express the given form in rectangular form.

Explanation:

Use\text{ }cos30^o=0.8660,sin30^o=0.5,cos90^o=0,\text{ and }sin90^o=1.

=[8(0.8660+i0.5)][3(0+i(1))]

=[8\times0.8660+i8\times0.5)][i3\times(1))]

=(6.928+i4)(i3)

=6.928(i3)+i4(i3)

=i20.784-12

=-12.0000+i20.7840

[8(cos30^o+isin30^o)][3(cos90^o+isin90^o)]=-12.0000+i20.7840

Final answer:

We know that z =a+bi is called the rectangular form.

The rectangular expression of the given expression is

-12.0000+20.7840i.

The real part is -12.0000 and the imaginary part =20.7840.

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