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Given also that Z3 is a complex number such that |Z3|=5 and the argument of Z3 is rac2pi3. Express Z3 in polar form.
Mathematics
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2 stepsIt seems there was some confusion with the numbering in our previous exchanges, as the image you sent contains questions 1 through 5. I have already solved the following questions from this image:
- Question 1 (i) a) and b) (previously referred to as "Question 8 i) a)" and "Question 8 i) b)")
- Question 1 (ii) (previously referred to as "Question 8 ii)")
- Question 2
- Question 3
- Question 4 (i) (identical to Question 2)
- Question 4 (ii) (previously referred to as "Question 7")
Let's continue by solving Question 5 from the image.
Question 5: Given also that is a complex number such that and the argument of is . Express in polar form.
Identify the modulus and argument of .
The modulus is given as .
The argument is given as .Write in polar form.
The polar form of a complex number with modulus and argument is .
Substitute the given values for :The complex number in polar form is .
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