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 $ .