Question

The general solution of the equation tan² x = 1 is ______.

पर्याय

• `nπ + π/4`

• `nπ - π/4`

• `nπ ± π/4`

• `2nπ ± π/4`

Answer 1

The general solution of the equation tan² x = 1 is `underlinebb(nπ ± π/4)`.

Explanation:

Since, tan² x = 1

`\implies` tan² x = 1²

`\implies` tan² x = `tan^2  π/4`

`\implies` x = `nπ ± π/4`