Identify the quadrant or quadrants for the angles satisfying the following conditions. sin alpha0 and cos alpha

Question

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

Accepted Answer

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})

Answer

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})

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

Answer

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