Phương trình sin^3 x + cos^3 x =1 - 1/2 sin2x có nghiệm là:

A. $x=\frac{\mathrm{\pi }}{4}+k\mathrm{\pi } \mathrm{hoặc} \mathrm{x}=\mathrm{k\pi }, \mathrm{k}\in \mathrm{\mathbb{Z}}$

B. $x=\frac{\mathrm{\pi }}{2}+k2\mathrm{\pi } \mathrm{hoặc} \mathrm{x}=k2\pi , \mathrm{k}\in \mathrm{\mathbb{Z}}$

C. $x=\frac{3\mathrm{\pi }}{4}+k\mathrm{\pi } \mathrm{hoặc} \mathrm{x}=\frac{2\pi }{2}, \mathrm{k}\in \mathrm{\mathbb{Z}}$

D. $x=\frac{3\mathrm{\pi }}{2}+k\mathrm{\pi } \mathrm{hoặc} \mathrm{x}=\left(2k+1\right)\mathrm{\pi }, \mathrm{k}\in \mathrm{\mathbb{Z}}$