Question

If $\sin\theta = - \frac{1}{\sqrt{2}}$ and $\tan\theta = 1,$ then $\theta$ lies in which quadrant

• A. First
• B. Second
• C. Third
• D. Fourth

Answer 1

Answer: (C)

Third

Answer 2

$\sin\theta = - \frac{1}{\sqrt{2}}$and $\tan\theta = 1$

$\Rightarrow$ $\sin\theta = \sin 225{^\circ} \Rightarrow \theta = 225{^\circ}$

Since $\sin\theta$is $- ve$and $\tan\theta$is $+ ve$in third quadrant.