What is \[{{\left[ \frac{\sin \frac{\pi }{6}+i\left( 1-\cos \frac{\pi }{6} \right)}{\sin \frac{\pi }{6}-i\left( 1-\cos \frac{\pi }{6} \right)} \right]}^{3}}\] where \[i=\sqrt{-1},\] equal to?

What is \[{{\left[ \frac{\sin \frac{\pi }{6}+i\left( 1-\cos \frac{\pi

1.	What is \[{{\left[ \frac{\sin \frac{\pi }{6}+i\left( 1-\cos \frac{\pi }{6} \right)}{\sin \frac{\pi }{6}-i\left( 1-\cos \frac{\pi }{6} \right)} \right]}^{3}}\] where \[i=\sqrt{-1},\] equal to?
A.	1
B.	\[-1\]
C.	\[i\]
D.	\[-i\]
Answer» D. \[-i\]

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What is \[{{\left[ \frac{\sin \frac{\pi }{6}+i\left( 1-\cos \frac{\pi }{6} \right)}{\sin \frac{\pi }{6}-i\left( 1-\cos \frac{\pi }{6} \right)} \right]}^{3}}\] where \[i=\sqrt{-1},\] equal to?

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