Inverse Trigonometric Functions Question 184

Question: Which of the following is the principal value branch of $ \cos e{c^{-1}}x? $

Options:

A) $ ( \frac{-\pi }{2},\frac{\pi }{2} ) $

B) $(0, \pi {\frac{\pi}{2}})$

C) $ [ \frac{-\pi }{2},\frac{\pi }{2} ] $

D) $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]-{0}$

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Answer:

Correct Answer: D

Principal value branch of $ \cos e{c^{-1}}x $

$ =[ \frac{-\pi }{2},\frac{\pi }{2} ]-{0} $