Problem 102
Question
What determines the size of an angle?
Step-by-Step Solution
Verified Answer
The size of an angle is determined by the amount of rotation from the initial side (one of the rays forming the angle) to the terminal side (the other ray). The more the rotation, the larger the angle.
1Step 1: Understand an angle
An angle in geometry is defined as the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex.
2Step 2: What determines the size of an angle
The size of an angle is determined by the amount of rotation from one ray (or arm) to another. The starting position of the ray is the initial side, and where it ends up after rotation is the terminal side.
3Step 3: Measurement of angles
Angles are measured in degrees (\( ^\circ \)) or radians. The more the rotation from the initial side to the terminal side, the larger the angle.
Other exercises in this chapter
Problem 101
find two values of \(\theta, 0 \leq \theta
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Without drawing a graph, describe the behavior of the graph of \(y=\sin ^{-1} x .\) Mention the function's domain and range in your description.
View solution Problem 102
Use a graphing utility to graph two periods of the function. $$y=-2 \cos \left(2 \pi x-\frac{\pi}{2}\right)$$
View solution Problem 102
Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1.
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