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:

  1. Unit Circle Location: The highlighted position is in the second quadrant of the unit circle.
  2. Angle Description: The angle appears to be halfway between π/2\pi/2 (90 degrees) and π\pi (180 degrees). This corresponds to an angle of 3π/43\pi/4 (135 degrees).

Correct Answer:

  • The correct answer is 3π/43\pi/4, which is shown on the yellow box.

Would you like further details on this or have any questions?

Related Questions:

  1. What are the coordinates of the point corresponding to 3π/43\pi/4 on the unit circle?
  2. How do you convert radians to degrees and vice versa?
  3. What are the sine and cosine values for angles in the second quadrant?
  4. How do you determine the reference angle for any given angle in radians?
  5. 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