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Complex Numbers question

2020 · 7 Jan · Shift 2 · Q32
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  5. /2020 · 7 Jan · Shift 2 · Q32

Complex Numbers question

2020 · 7 Jan · Shift 2 · Q32

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If 3+isin⁡θ4−icos⁡θ{{3 + i\sin \theta } \over {4 - i\cos \theta }}4−icosθ3+isinθ​, θ∈\theta \inθ∈ [0, 2 θ\thetaθ], is a real number, then an argument of sin θ\thetaθ + icos θ\thetaθ is :
  1. A
    π−tan⁡−1(34)\pi - {\tan ^{ - 1}}\left( {{3 \over 4}} \right)π−tan−1(43​)
  2. B
    −tan⁡−1(34)- {\tan ^{ - 1}}\left( {{3 \over 4}} \right)−tan−1(43​)
  3. C
    tan⁡−1(43){\tan ^{ - 1}}\left( {{4 \over 3}} \right)tan−1(34​)
  4. D
    π−tan⁡−1(43)\pi - {\tan ^{ - 1}}\left( {{4 \over 3}} \right)π−tan−1(34​)
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