1.

If \[{{\cos }^{6}}\alpha +{{\sin }^{6}}\alpha +K\,{{\sin }^{2}}2\alpha =1,\] then K =

A. \[\frac{4}{3}\]
B. \[\frac{3}{4}\]
C. \[\frac{1}{2}\]
D. 2
Answer» C. \[\frac{1}{2}\]


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