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If z = (3+isintheta)/(4-icostheta) is pu...

If z = `(3+isintheta)/(4-icostheta)` is purely real and `theta in (pi/2,pi)` ,then `arg(sintheta + i costheta)` is -

A

`pi-tan^(-1).((3)/(4))`

B

`pi-tan^(-1)((4)/(3))`

C

`tan^(-1)((4)/(3))`

D

`-tan^(-1)((3)/(4))`

Text Solution

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The correct Answer is:
`B`
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