Answer:
C. [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
By the trigonometric ratios,
[tex]tan \theta = \frac{1}{cot \theta}[/tex]
[tex]\implies cot \theta=\frac{1}{tan \theta}[/tex]
We have given,
[tex]tan \theta =9[/tex]
By substituting the value,
We get,
[tex]cot \theta = \frac{1}{9}[/tex]
Hence, option 'C' is correct.