Question

In $\sin \theta =\frac{-1}{\sqrt{2}}\&\tan \theta$ lies in which quadrant?

• A. first
• B. second
• C. third
• D. fourth

Answer 1

The correct option is C third

sin ( theta) is negative in $3rd$ and $4th$ quadrant.

and positive in $1st$ and $2nd$ quadrant.

Possible values of the given expression is $225$ degrees and $315$ degrees. in $0$ to $360$ degrees.

$tan\left(\theta \right)$ is positive in $3rd$ and $1st$ quadrant.

therefore by above two statements, theta lies is $3rd$ quadrant.