If sin θ = −1√2 and tan θ = 1, then θ lies in which quadrant.
Third
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.
So, θ should lie in third quadrant.