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Question

If a+in form of the liar representation 5(cos3pie/2+isin3pie/2) is:

1. 7-5I

2. 7+5I

3. 0+5I

4. 0-5i

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Solution

5(cos3π/2+isin3π/2)
Cos(3π/2)=0
sin(3π/2)=-1
=> 5(0-i)
=>0-5i
So answer is option 4 ie,
0-5i.

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