Inverse Trigonometric Functions Question 113

Question: $ \cot [ {{\cos }^{-1}}( \frac{7}{25} ) ]= $

[Karnataka CET 1994]

Options:

A) $ \frac{25}{24} $

B) $ \frac{25}{7} $

C) $ \frac{24}{25} $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

$ \cot [ {{\cos }^{-1}}( \frac{7}{25} ) ]=\cot [ {{\cot }^{-1}}( \frac{7}{24} ) ]=\frac{7}{24} $ .