Inverse Trigonometric Functions Question 169

Question: $ \sec (cose{c^{-1}}x) $ is equal to

[Kurukshetra CEE 2001]

Options:

A) $ cosec({{\sec }^{-1}}x) $

B) $ \cot x $

C) $ \pi $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

We know that sec (cosec-1x) = cosec(sec-1 x) $ =\frac{|x|}{\sqrt{x^{2}-1}} $ for $ |x|>1 $ .