A) \[2\sqrt{3}\]
B) \[2+\sqrt{3}\]
C) \[2-\sqrt{3}\]
D) None of these
Correct Answer: A
Solution :
\[\tan \,{{75}^{o}}-\cot \,{{75}^{o}}=\cot \,{{15}^{o}}-\cot \,{{75}^{o}}\] \[=(2+\sqrt{3})-(2-\sqrt{3})=2\sqrt{3}\].
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