Number of solutions of the equation `sec^(-1)((2)/((1)/(x)+x))+picospix=0`

Answer

1

Explanation

`sec^(-1)((2)/((1)/(x)+x))=sec^(-1)((2x)/(1+x^(2)))`
`because` domain of `sec^(-1)((2)/((1)/(x)+x))` is `x=1,-1`
`x=1` does not satisfy
if `x=-1` then
`sec^(-1)((2)/((1)/(x)+x))+picosx`
`=sec^(-1)(-1)+picos(-pi)=pi-pi=0`