Inverse Trigonometric Functions Question 119
Question: $ f(x)=ta{n^{-1}}x+{{\tan }^{-1}}( \frac{1}{x} );g(x)=si{n^{-1}}x+co{x^{-1}}x $ are identical functions if
Options:
A) $ x\in R $
B) $ x>0 $
C) $ x\in [-1,1] $
D) $ x\in (0,1] $
Show Answer
Answer:
Correct Answer: D
$ ( \frac{\pi }{2}-2x )=\cos 6x= \begin{matrix} \frac{\pi }{2}x>0 \\ \frac{-\pi }{2}x<0 \\ \end{matrix} . $
$ {{\sin }^{-1}}x+{{\cos }^{-1}}x=\frac{\pi }{2}\forall x\in [-1,1] $ .
BETA
