Which quadrant has a positive sine value and a negative cosine value?
Options
A
I
B
II
C
III
D
IV
Answer & Analysis
Answer
B
Analysis
Question Analysis
The main focus is to determine which quadrant has a positive sine value ( > 0) and a negative cosine value ( < 0) by applying trigonometric sign conventions in each quadrant.
Key Concept Explanation
In the unit circle, the signs of (y-coordinate) and (x-coordinate) depend on the quadrant:
QI: x > 0, y > 0 → > 0, > 0.
QII: x < 0, y > 0 → < 0, > 0.
QIII: x < 0, y < 0 → < 0, < 0.
QIV: x > 0, y < 0 →
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