Inverse Trigonometric Functions Question 144

Question: $ {{\cot }^{-1}}(-\sqrt{3}) $ =

Options:

A) $ -\frac{\pi }{6} $

B) $ \frac{5\pi }{6} $

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

D) $ \frac{2\pi }{3} $

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Answer:

Correct Answer: B

Solution:

$ {{\cot }^{-1}}(-\sqrt{3})=\pi -{{\cot }^{-1}}(\sqrt{3})=\frac{5\pi }{6} $ .