A) \[x=\frac{1+\sin 60{}^\circ -\cos 60{}^\circ }{1+\sin 60{}^\circ +\cos 60{}^\circ }\,\,\,\,\,\,\,x=\tan 60{}^\circ \]
B) \[x=\frac{1+\sin 90{}^\circ -\cos 90{}^\circ }{1+\sin 90{}^\circ -\cos 90{}^\circ }\,\,\,\,\,\,\,x=\tan 30{}^\circ \]
C) \[x=\frac{2\tan 30{}^\circ }{1+{{\tan }^{2}}30{}^\circ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=\tan 60{}^\circ \]
D) \[x=\frac{1-{{\tan }^{2}}30{}^\circ }{1+{{\tan }^{2}}30{}^\circ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=\cos 60{}^\circ \]
E) None of these
Correct Answer: D
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