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If (3pi)/(2) gt alpha gt 2 pi, find the ...

If `(3pi)/(2) gt alpha gt 2 pi`, find the modulus and argument of `(1 - cos 2 alpha) + i sin 2 alpha `.

A

`-2cosalpha[cos(pi+alpha)+isin(pi+alpha)]`

B

`2cosalpha[cosalpha+isinalpha}`

C

`2cosalpha[cos(pi-alpha)+isin(pi-alpha)}`

D

`-2cosalpha[cos(pi-alpha)+isin(pi-alpha)}`

Text Solution

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The correct Answer is:
a
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
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  2. For any complex number z, the minimum value of |z|+|z-1|

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  15. Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is

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  16. The number of solutions of the equation z^2+z=0 where z is a a complex...

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  18. Let za n domega be two complex numbers such that |z|lt=1,|omega|lt=1a ...

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