The general solution of the equation `tan^(2)x=1` is

Options

A. `n pi+(pi)/(4)`
B. `n pi-(pi)/(4)`
C. `n pi (pi)/(4)`
D. `2n pi pm (pi)/(4)`

Answer

C

Explanation

Given `tan^(2)x=1`
`Rightarrow tan^(2)x=1^(2)`
`Rightarrow tan^(2)x=tan^(2)""(pi)/(4)`
`Rightarrow x=n pi pm (pi)/(4)`