Question

identify the quadrant or quadrants for the angles satisfying the following conditions. sin α < 0 and cos α < 0. the angles satisfying the above conditions are in quadrant . (type your answer as 1, 2, 3, or 4. use commas to separate answers if needed.)

Explanation:

Step1: Recall sine - cosine signs in quadrants

In the unit - circle, sine is negative in quadrants 3 and 4, and cosine is negative in quadrants 2 and 3.

Step2: Find the common quadrant

The common quadrant where both $\sin\alpha<0$ and $\cos\alpha < 0$ is quadrant 3.

Answer:

3