What are the coordinates of 315° on the unit circle?
Options
A
B
C
D
Answer & Analysis
Answer
D
Analysis
Question Analysis
The main focus is to determine the coordinates on the unit circle for the angle using (x-coordinate) and (y-coordinate), considering its position in the fourth quadrant.
Key Concept Explanation
On the unit circle, coordinates for an angle are . For angles in the fourth quadrant ( < < ), is positive and is negative. The reference angle for is .
Step-by-Step Solution
1. Find the reference angle:
Reference angle = .
2. Apply quadrant signs:
In QIV: , .
3. Use values:
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