If θ ∈ (0, π), the principal value of the arg (z) and |z| of the complex number z= (1+ +i…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If θ ∈ (0, π), the principal value of the arg (z) and |z| of the complex number \(z=\frac{(1+\cos \theta+i \sin \theta)^{5}}{(\cos \theta+i \sin \theta)^{3}}\) is
- \(\frac{\theta}{2}, 32 \cos ^{5} \frac{\theta}{2}\)
- \(-\frac{\theta}{2}, 16 \cos ^{4} \frac{\theta}{2}\)
- None of these
Answer
(A)
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