Inverse Trigonometric Functions Question 186

Question: $ \tan ( 90^{o}-{{\cot }^{-1}}\frac{1}{3} )= $

Options:

A) 3

B) $ \frac{2}{3} $

C) $ \frac{1}{3} $

D) $ \frac{1}{\sqrt{10}} $

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Answer:

Correct Answer: C

Solution:

$ \tan ( 90^{o}-{{\cot }^{-1}}\frac{1}{3} )=\cot .{{\cot }^{-1}}\frac{1}{3}=\frac{1}{3} $ .