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

The correct option is C

Third

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

$\Rightarrow$sin$\theta$ is negative and tan $\theta$ is positive.

$\Rightarrow$sin$\theta$ is negative either in third or fourth quadrant.

It is also given tan $\theta$ is positive.
In third quadrant tan $\theta$ is positive while in fourth quadrant tan $\theta$ is negative.

$\Rightarrow$ $\theta$ should lie in third quadrant.