Problem

Identify the quadrant or quadrants for the angles satisfying the following conditions. $\sin \alpha>0$ and $\cos \alpha<0$

Solution

Step 1 :The problem is asking for the quadrant or quadrants where the sine of an angle is positive and the cosine of the same angle is negative.

Step 2 :In the unit circle, the sine of an angle corresponds to the y-coordinate and the cosine of an angle corresponds to the x-coordinate.

Step 3 :The sine of an angle is positive in the first and second quadrants, and the cosine of an angle is negative in the second and third quadrants.

Step 4 :The quadrant where both conditions are satisfied is the second quadrant.

Step 5 :Final Answer: \(\boxed{2}\)

From Solvely APP
Source: https://solvelyapp.com/problems/19436/

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