If sin θ > 0 and tan θ > 0, name the quadrant in which the angle θ lies?
- 3rd quadrant
- 2nd quadrant
- 1st quadrant
- None of these
Explanation
Given sin θ > 0 and tan θ > 0:
Step 1: Determine the quadrants for sin θ > 0
sin θ > 0 in the 1st and 2nd quadrants.
Step 2: Determine the quadrants for tan θ > 0
tan θ > 0 in the 1st and 3rd quadrants.
Step 3: Find the common quadrant
The common quadrant where both conditions are met is the 1st quadrant.
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