Question

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

• A. \(n\pi+\frac{\pi}{4}\) only
• B. \(n\pi\pm\frac{\pi}{4}\)
• C. \(2n\pi\pm\frac{\pi}{4}\)
• D. \(n\pi-\frac{\pi}{4}\) only

Hint:

If \(\tan^2x=1\), then \(\tan x=\pm1\). Therefore, the general solution is \(x=n\pi\pm\frac{\pi}{4}\).

Answer 1

The Correct Option is B