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)))`
`:.` 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))+picospix+sec^(-1)(-1)+picos(-pi)=pi-pi`
`=0`
`:.` there is one solution.