(a)
The trigonometric forms of thecomplex numbers.
(a)

Answer to Problem 48E
The trigonometric formis
Explanation of Solution
Given info:
Formula used:
The trigonometric form of the
Where
Calculation:
We have
The trigonometric form is
Conclusion:
Thus,the trigonometric form is
(b)
The product using the trigonometric forms.
(b)

Answer to Problem 48E
The product using the trigonometric form is
Explanation of Solution
Given info:
Formula used:
Let
Calculation:
From part a we have
We have
The product using the trigonometric formis
Conclusion:
Thus,the product using the trigonometric form is
(c)
The product using the standard forms, and checkyour result with that of part (b).
(c)

Answer to Problem 48E
The product using standard form and trigonometric form are same.
Explanation of Solution
Given info:
Formula used:
We have the results
Calculation:
Product from part b is
The product using the standard forms is given by
Product using standard form and trigonometric form are same.
Conclusion:
Thus,the product using standard form and trigonometric form are same.
Chapter 6 Solutions
EBK PRECALCULUS W/LIMITS
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