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Find real theta such that (3+2i sin th...

Find real `theta` such that
`(3+2i sin theta)/(1-2i sin theta)` is purely real.

A

`pi`

B

`(pi)/(2)`

C

`(pi)/(3)`

D

`(pi)/(4)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The real value of theta for which the expression (1+I cos theta)/(1-2i cos theta) is a real number is

    A
    `npi+(pi)/(4), n inZ`
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    D
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