Suppose $S_a(x)=\operatorname{Sec}^{-1}\left(\frac{x}{a} ight)+\operatorname{Sec}^{-1}(a)$ for $a
eq 0$. If $S_a(x)=S_b(x)$ for $a
eq b$ then $x=$

Question

Suppose $S_a(x)=\operatorname{Sec}^{-1}\left(\frac{x}{a}ight)+\operatorname{Sec}^{-1}(a)$ for $a 
eq 0$. If $S_a(x)=S_b(x)$ for $a 
eq b$ then $x=$

Aicharya · Accepted Answer

No solution. Refer to answer key.

Suppose $S_a(x)=\operatorname{Sec}^{-1}\left(\frac{x}{a}\right)+\operatorname{Sec}^{-1}(a)$ for $a \neq 0$.…