The quadrant that θ lies given that sinθ < 0 and cosθ > 0 is; Quadrant IV
To understand this question, we need to first know the signs of the trigonometric functions in each of the four quadrants going in an anti-clockwise direction.
- In the first quadrant, sin, cos and tan are all positive.
- In the second quadrant going anti-clockwise, only sin is positive.
- In the third quadrant going anti-clockwise, only tan is positive.
- In the fourth quadrant going anti-clockwise, only cos is positive.
We are told that;
sinθ < 0 and cos θ > 0.
This means that sin is negative and cos is positive.
Looking at the rule established initially, it is clear that the angle is in the fourth quadrant.
Read more about quadrant signs of trigonometric functions at;https://brainly.com/question/12380695
