Question

If $\theta ={\sin }^{-1}x+{\cos }^{-1}x-{\tan }^{-1}x,1\le x<\infty$, the smallest interval in which $\theta$ lies is

Answer 1

o main of the given function is $1\le x\le 1$ it is also given that $1\le x<\infty$ only possible value of K is $1$

${\sin }^{-1}1+{\cos }^{-1}-{\tan }^{-1}$

$\frac{7}{4}$