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

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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))`
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Correct Answer - `B`
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