JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The most general solution of

{2^{1 + \,\left| {\,\cos x\,} \right| + \,{{\cos }^2}x + \,\left| {\,{{\cos }^3}x\,} \right| + \ldots \infty }} = 4

is given by

View answer and explanation

Correct option: A

x = n\pi \,\, \pm \,\,\frac{\pi }{3},\,\,n \in Z

Option A (x = nπ ± π/3, n ∈ Z) is correct because solving the equation leads to cos x = ±1/2, which gives the general solution x = nπ ± π/3.

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