MathematicsMedium53×since 2002Q3211If 3+isinθ4−icosθ{{3 + i\sin \theta } \over {4 - i\cos \theta }}4−icosθ3+isinθ, θ\thetaθ ∈\in∈ [0, 2θ\thetaθ], is a real number, then an argument of sinθ\thetaθ + icosθ\thetaθ is :Aπ−tan−1(34)\pi - {\tan ^{ - 1}}\left( {{3 \over 4}} \right)π−tan−1(43)B−tan−1(34)- {\tan ^{ - 1}}\left( {{3 \over 4}} \right)−tan−1(43)Ctan−1(43){\tan ^{ - 1}}\left( {{4 \over 3}} \right)tan−1(34)Dπ−tan−1(43)\pi - {\tan ^{ - 1}}\left( {{4 \over 3}} \right)π−tan−1(34)Check answerSkip