Tan\theta is positive and Sin\theta is negative. In which quadrant does \theta lies
A
Second only
B
Third only
C
Fourth only
D
First and third only
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
First quadrant: Sin, Cos and Tan are all positive
Second quadrant: Sin is positive, Cos is negative and Tan is negative
Third quadrant: Tan is positive, Sin is negative and Cos is negative
Fourth quadrant: Cos is positive, Sin is negative and Tan is negative
The correct option is the third quadrant only where Tan\theta is positive and Sin\theta is negative
Source: Myschool Past Questions Archive (Record #47572)