(2018•山东)若坐标原点(0,0)到直线x-y+sin2θ=0的距离等于\( \frac{\sqrt{2}}{2}\)，则角θ的取值集合是 ( )
A. \( \left\{\theta |\theta =k\pi \pm \frac{\pi }{4},k\in z\right\}\)
B. \( \left\{\theta |\theta =k\pi \pm \frac{\pi }{2},k\in z\right\}\) C. \( \left\{\theta |\theta =2k\pi \pm \frac{\pi }{4},k\in z\right\}\) D. \( \left\{\theta |\theta =2k\pi \pm \frac{\pi }{2},k\in z\right\}\)
