Using the unit circle, define the coordinates at that can be derived from quadrant I’s 30-45-60 ratios.
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
Question Analysis
The task is to find the unit circle coordinates for (135°) by relating it to Quadrant I’s 45° () ratio and adjusting signs for Quadrant II using reference angles.
Key Concept Explanation
Reference Angle: lies in Quadrant II. Its reference angle is (45°).
Trig Signs in QII: Cosine (x) is negative, sine (y) is positive (ASTC: Sin (+) in QII).
Step-by-Step Solution
1. Identify the reference angle:
Reference angle = (45°).
.
3. Adjust signs for Quadrant II:
,
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.