A) 3
B) \[\frac{2}{3}\]
C) \[\frac{1}{3}\]
D) \[\frac{1}{\sqrt{10}}\]
Correct Answer: C
Solution :
\[\tan \,\left( {{90}^{o}}-{{\cot }^{-1}}\frac{1}{3} \right)\,=\cot \,.\,{{\cot }^{-1}}\frac{1}{3}=\frac{1}{3}\].
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