Math Problem Statement
Identify the radian measure corresponding to the highlighted position on the unit circle.
Solution
The image shows a trigonometry question related to the unit circle. The question is asking to identify the radian measure corresponding to the highlighted position on the unit circle.
Analysis:
- Unit Circle Location: The highlighted position is in the second quadrant of the unit circle.
- Angle Description: The angle appears to be halfway between (90 degrees) and (180 degrees). This corresponds to an angle of (135 degrees).
Correct Answer:
- The correct answer is , which is shown on the yellow box.
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Related Questions:
- What are the coordinates of the point corresponding to on the unit circle?
- How do you convert radians to degrees and vice versa?
- What are the sine and cosine values for angles in the second quadrant?
- How do you determine the reference angle for any given angle in radians?
- What are some common angles on the unit circle and their corresponding coordinates?
Tip: Remember that in the unit circle, the angles in the second quadrant have positive sine values and negative cosine values.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Unit Circle
Radians
Formulas
Reference angles in radians
Trigonometric values on the unit circle
Theorems
Unit Circle Theorem
Suitable Grade Level
Grades 10-12