If sin θ = −1√2 and tan θ = 1, then θ lies in which quadrant.
Given sinθ = - 1√2 and tanθ = 1
⇒sinθ is negative and tan θ is positive.
⇒sinθ is negative either in third or fourth quadrant.
It is also given tan θ is positive.
In third quadrant tan θ is positive while in fourth quadrant tan θ is negative.
⇒ θ should lie in third quadrant.