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Which of the following gives the complete general solution of ?
MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions
Problem Which of the following gives the complete general solution of sin x cos x cos 2 x = 0 \sin x\,\cos x\,\cos 2x = 0 sin x cos x cos 2 x = 0 ?
(a) x = n π or x = π 2 + n π , n ∈ Z x = n\pi \text{ or } x = \dfrac{\pi}{2}+n\pi,\; n\in\mathbb Z x = nπ or x = 2 π + nπ , n ∈ Z
(b) x = n π , x = π 2 + n π , x = π 4 + n π 2 , n ∈ Z x = n\pi,\; x = \dfrac{\pi}{2} + n\pi,\; x = \dfrac{\pi}{4} + \dfrac{n\pi}{2},\; n\in\mathbb Z x = nπ , x = 2 π + nπ , x = 4 π + 2 nπ , n ∈ Z
(c) x = n π 2 or x = π 4 + n π 2 , n ∈ Z x = \dfrac{n\pi}{2} \text{ or } x = \dfrac{\pi}{4}+\dfrac{n\pi}{2},\; n\in\mathbb Z x = 2 nπ or x = 4 π + 2 nπ , n ∈ Z
(d) x = n π or x = π 4 + n π 2 , n ∈ Z x = n\pi \text{ or } x = \dfrac{\pi}{4}+\dfrac{n\pi}{2},\; n\in\mathbb Z x = nπ or x = 4 π + 2 nπ , n ∈ Z
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