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Chapter 4: Problem 101

What is an angle?

Short Answer

Expert verified
An angle is a figure formed by two rays sharing a common endpoint. It can also be thought of as the space between two intersecting lines or surfaces at or close to the point where they meet. Angles are measured in degrees and can be classified as acute, right, obtuse, straight, reflex, or full.

Step by step solution

01

Definition

An angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles are measured in degrees, a measure that represents a part of a complete rotation.
02

Explanation

In a plane, an angle is formed by two lines that meet at a point. For example, when you open a door, the door and the doorjamb create an angle. The door and the doorjamb are like the two lines, and the hinge of the door is like the vertex of the angle. When the door is closed, it forms a 0-degree angle with the door jamb. As the door opens wider, the angle increases.
03

Classification

Angles can be classified as acute (less than 90 degrees but greater than 0 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), reflex (greater than 180 degrees but less than 360), and full (exactly 360 degrees).

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Most popular questions from this chapter

Use a vertical shift to graph one period of the function. $$y=-3 \cos 2 \pi x+2$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Using radian measure, I can always find a positive angle less than \(2 \pi\) coterminal with a given angle by adding or subtracting \(2 \pi\)

Write the equation for a cosecant function satisfying the given conditions. $$\text { period: } 3 \pi ; \text { range: }(-\infty,-2] \cup[2, \infty)$$

Use a graphing utility to graph two periods of the function. $$y=0.2 \sin \left(\frac{\pi}{10} x+\pi\right)$$

Use a vertical shift to graph one period of the function. $$y=\cos x+3$$
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