Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersDe Moivre's theorem and Roots of unity
MediumThe general value of the real angle $\theta$, which satisfies the equation $(\cos \theta + i \sin \theta)(\cos 2\theta + i \sin 2\theta) \dots (\cos n\theta + i \sin n\theta) = 1$ is given by (assuming $k$ is an integer):
- A$\frac{2k\pi}{n+2}$
- B$\frac{4k\pi}{n(n+1)}$
- C$\frac{4k\pi}{n+1}$
- D$\frac{6k\pi}{n(n+1)}$
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