Solveeit Logo

Question

Question: If \((\cos\theta + \cos 3\theta) + \cos 2\theta = 0\), then the general value of \(2\cos 2\theta\cos...

If (cosθ+cos3θ)+cos2θ=0(\cos\theta + \cos 3\theta) + \cos 2\theta = 0, then the general value of 2cos2θcosθ+cos2θ=02\cos 2\theta\cos\theta + \cos 2\theta = 0 is.

A

cos2θ(2cosθ+1)=0\cos 2\theta(2\cos\theta + 1) = 0

B

cos2θ=0=cosπ2\cos 2\theta = 0 = \cos\frac{\pi}{2}

C

θ=π4\theta = \frac{\pi}{4}

D

θ=2mπ±π4\theta = 2m\pi \pm \frac{\pi}{4}

Answer

θ=2mπ±π4\theta = 2m\pi \pm \frac{\pi}{4}

Explanation

Solution

\Rightarrow

2A=2nπ+π22A = 2n\pi + \frac{\pi}{2} \Rightarrow.