Inverse Trigonometric Functions Question 155

Question: $ {{\sec }^{-1}}[\sec (-30^{o})]= $

[MP PET 1992]

Options:

A) $ -60^{o} $

B) $ -30^{o} $

C) $ 30^{o} $

D) $ 150^{o} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ {{\sec }^{-1}}[\sec (-30^{o})]={{\sec }^{-1}}(\sec 30^{o})=30^{o} $ .