JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Application +4 | -1

\cos \,\,\theta + \cos \,\,2\theta + \cos \,\,3\theta = 0

, the general value of

\theta

View answer and explanation

Correct option: D

\theta = 2n\pi \,\, \pm \,\,\frac{{2\,\pi }}{3}

Option D (

\theta = 2n\pi \, \pm \, \frac{{2\,\pi }}{3}

) is correct because solving the trigonometric equation

\cos \theta + \cos 2\theta + \cos 3\theta = 0

leads to the general solution

\theta = 2n\pi \pm \frac{2\pi}{3}

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