3. Find the measure of the angle.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 2E
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The image depicts a Cartesian coordinate system with x and y axes. Here's a detailed transcription and explanation of the content of the image for an educational website:

### 3. Find the measure of the angle.

The diagram shows the Cartesian coordinate system with the x-axis running horizontally and the y-axis running vertically. Both axes have arrows indicating positive and negative directions. 

- A red spiral starts at the origin (0,0) and spirals outwards.
- There is a marked angle in green with its vertex at the origin, labeled as \(\frac{\pi}{6}\).
- A blue arrow represents the terminal side of the angle, which intersects the positive x-axis and the spiral.

The angle is measured in radians, and \(\frac{\pi}{6}\) radians is equivalent to 30 degrees. This angle is formed between the positive y-axis and the blue arrow.
Transcribed Image Text:The image depicts a Cartesian coordinate system with x and y axes. Here's a detailed transcription and explanation of the content of the image for an educational website: ### 3. Find the measure of the angle. The diagram shows the Cartesian coordinate system with the x-axis running horizontally and the y-axis running vertically. Both axes have arrows indicating positive and negative directions. - A red spiral starts at the origin (0,0) and spirals outwards. - There is a marked angle in green with its vertex at the origin, labeled as \(\frac{\pi}{6}\). - A blue arrow represents the terminal side of the angle, which intersects the positive x-axis and the spiral. The angle is measured in radians, and \(\frac{\pi}{6}\) radians is equivalent to 30 degrees. This angle is formed between the positive y-axis and the blue arrow.
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