Question #6439144Single Choice
Geometry
Question
What are the coordinates of 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 (135°) using cosine (x-coordinate) and sine (y-coordinate), accounting for its position in the second quadrant.
Key Concept Explanation
On the unit circle, coordinates for an angle are . For angles in the second quadrant ( < < ), is negative and is positive. is a special angle related to (45°) with reference angle .
Step-by-Step Solution
1. Identify the reference angle:
Reference angle for is .
2. Apply quadrant signs:
In QII, , .
3. Use values:
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