Problem

Identify the quadrant or quadrants for the angles satisfying the following conditions. \[ \sin \alpha>0 \text { and } \sec \alpha<0 \]

Solution

Step 1 :The sine of an angle is positive in the first and second quadrants.

Step 2 :The secant of an angle is negative in the second and third quadrants.

Step 3 :Therefore, the angle α must be in the second quadrant where both conditions are satisfied.

Step 4 :\(\boxed{\text{The angle α is in the second quadrant}}\)

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Source: https://solvelyapp.com/problems/7637/

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