1.

If \[\theta \]is an acute angle and \[\sin \frac{\theta }{2}=\sqrt{\frac{x-1}{2x}}\], then \[\tan \theta \] is equal to [Orissa  JEE 2005]

A. \[{{x}^{2}}-1\]
B. \[\sqrt{{{x}^{2}}-1}\]
C. \[\sqrt{{{x}^{2}}+1}\]
D. \[{{x}^{2}}+1\]
Answer» C. \[\sqrt{{{x}^{2}}+1}\]


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