\(\dfrac{{1 + \sin 2x - \cos 2x}}{{1 + {{\tan }^2}x}} = \cos x\left( {\sin 2x + 2{{\cos }^2}x} \right)\).
A.\(x = \dfrac{\pi }{2} + k\pi ;\,\,x =  \dfrac{\pi }{4} + k\pi \,\,\left( {k \in \mathbb{Z}} \right)\).
B.\(x = \dfrac{\pi }{2} + k\pi ;\,\,x =  - \dfrac{\pi }{4} + k\pi \,\,\left( {k \in \mathbb{Z}} \right)\).
C.\(x = \dfrac{\pi }{2} + k\pi ;\,\,x =  \pm \dfrac{\pi }{4} + k\pi \,\,\left( {k \in \mathbb{Z}} \right)\).
D.\(x = \dfrac{\pi }{2} + k2\pi ;\,\,x =  - \dfrac{\pi }{4} + k\pi \,\,\left( {k \in \mathbb{Z}} \right)\).

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