question_answer

Range of\[f(x)={{\sin }^{-1}}x+{{\tan }^{-1}}x+{{\cos }^{-1}}x\]is _____.

A)  \[\left[ \frac{\pi }{4},\,\,\frac{\pi }{2} \right]\]                  

B)  \[\left[ \frac{\pi }{2},\,\,\frac{3\pi }{2} \right]\]

C)  \[\left[ \frac{\pi }{4},\,\,\frac{3\pi }{4} \right]\]

D)  \[\left[ \frac{-\pi }{2},\,\,\frac{3\pi }{4} \right]\]

E)  None of these