Question

The values of $\theta$ satisfying $\tan 3\theta =-1$ is

Answer 1

Given : $\tan 3\theta =-1$

$⟹3\theta =ta{n}^{-1}(-1)$

$⟹3\theta =\frac{3\pi }{4}$

$⟹3\theta =n\pi \pm \frac{3\pi }{4}$

$⟹\theta =\frac{n\pi }{3}\pm \frac{\pi }{4}$