Question

if sin thita = -1/√2 and tan theta =1 ,then decide the quadrant in which thita lies

Answer 1

$\textsf{concept:}$

$\boxed{\begin{minipage}{4cm}\textsf{I quadrant - All positive\\\\II quadrant - \sin\theta positive\\\\III quadrant - tan\theta positive\\\\IV quadrant - cos\theta positive}\end{minipage}}$

$\textsf{Given:}$

$\mathsf{ sin\,\theta=\frac{-1}{\sqrt2}\;\;\&\;\;tan\,\theta=1}$

$\textsf{ since sin\theta is negative and tan\theta is positive,}$

$\textsf{ \theta lies in 3 rd quadrant}$

Answer 2

Answer:

It lies in third quadrant.