Question

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$1+\cos ^2 \theta=3 \sin \theta \cos \theta \Rightarrow \theta=$

MathematicsTrigonometric EquationsAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)

Options:

A $n \pi+\frac{\pi}{4}, n \pi-\operatorname{Tan}^{-1}\left(\frac{1}{2}\right) ; n \in \mathbb{Z}$
B $n \pi-\frac{\pi}{4}, n \pi+\operatorname{Tan}^{-1} 2 ; n \in \mathbb{Z}$
C $n \pi+\frac{\pi}{4}, n \pi+\mathrm{T}$ an $^{-1} 2 ; n \in \mathbb{Z}$
D $n \pi-\frac{\pi}{4}, n \pi+\operatorname{Tan}^{-1}\left(\frac{1}{2}\right) ; n \in \mathbb{Z}$