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Question: The most general value of \(\Rightarrow\)satisfying the equations \(\cos 2\theta = - \frac{1}{2}\)an...

The most general value of \Rightarrowsatisfying the equations cos2θ=12\cos 2\theta = - \frac{1}{2}and \Rightarrowis.

A

2θ=2nπ±2π3θ=nπ±π32\theta = 2n\pi \pm \frac{2\pi}{3} \Rightarrow \theta = n\pi \pm \frac{\pi}{3}

B

sin4θ=04θ=nπθ=nπ4\sin 4\theta = 0 \Rightarrow 4\theta = n\pi \Rightarrow \theta = \frac{n\pi}{4}

C

θ=nπ4\theta = \frac{n\pi}{4}

D

nπ±π3n\pi \pm \frac{\pi}{3}

Answer

2θ=2nπ±2π3θ=nπ±π32\theta = 2n\pi \pm \frac{2\pi}{3} \Rightarrow \theta = n\pi \pm \frac{\pi}{3}

Explanation

Solution

It is obvious.