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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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff680fd89-90ed-42e9-8d06-46add0eeb22d%2F2b27f6c9-2035-4688-8e0d-122b25ad565e%2Ftwddko3_processed.png&w=3840&q=75)
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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