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} $