Trig Chapter 5 Vocabulary

1. What is a vertex?

The shared endpoint of two rays that form an angle.

A type of geometric shape.

The highest point on a curve or surface.

The midpoint of a line segment.

A vertex is specifically defined as the shared endpoint of two rays that form an angle in geometry.

Explanation

A vertex is specifically defined as the shared endpoint of two rays that form an angle in geometry.

2. What is an initial side in an angle?

Vertex of an angle.

Terminal side of an angle.

Hypotenuse of a right triangle.

Fixed ray of an angle

The initial side of an angle refers to the fixed ray from which the angle is measured, while the terminal side is where the angle ends. The vertex is the common endpoint of the two rays forming an angle, and the hypotenuse is the longest side of a right triangle, not specifically related to angles.

Explanation

The initial side of an angle refers to the fixed ray from which the angle is measured, while the terminal side is where the angle ends. The vertex is the common endpoint of the two rays forming an angle, and the hypotenuse is the longest side of a right triangle, not specifically related to angles.

3. What does the term 'Terminal Side' refer to in the context of trigonometry?

Midpoint of a line segment

Length of a line segment

Rotating ray of an angle

Vertex of an angle

The terminal side is the ray that rotates in a specific direction when an angle is formed. It determines the position of the angle in the coordinate system.

Explanation

The terminal side is the ray that rotates in a specific direction when an angle is formed. It determines the position of the angle in the coordinate system.

4. What is standard position in trigonometry?

Angle whose vertex is at the origin and initial side is along the negative x-axis.

Angle whose vertex is at the origin and initial side is along the x-axis

Angle whose vertex is at the origin and initial side is along the y-axis.

Angle whose vertex is at (1,1) and initial side is along the x-axis.

Standard position in trigonometry refers to an angle where the vertex is at the origin (0,0) and the initial side of the angle is along the positive x-axis. This position helps in defining and understanding trigonometric functions.

Explanation

Standard position in trigonometry refers to an angle where the vertex is at the origin (0,0) and the initial side of the angle is along the positive x-axis. This position helps in defining and understanding trigonometric functions.

5. What is a degree?

A unit of time measurement.

A unit of distance measurement.

A unit of temperature measurement.

Most common unit used to measure angles

Degrees are primarily used to measure angles, representing 1/360th of a full rotation.

Explanation

Degrees are primarily used to measure angles, representing 1/360th of a full rotation.

6. In terms of degrees, how much is one minute?

1/20 of a degree

1/60 of a degree

1/30 of a degree

1/90 of a degree

In the context of measuring angles, a minute is equal to 1/60 of a degree. This is because there are 60 minutes in one degree. Therefore, when converting between degrees and minutes, you can divide the number of minutes by 60 to obtain the equivalent value in degrees.

Explanation

In the context of measuring angles, a minute is equal to 1/60 of a degree. This is because there are 60 minutes in one degree. Therefore, when converting between degrees and minutes, you can divide the number of minutes by 60 to obtain the equivalent value in degrees.

7. How many seconds are in one hour?

3600

1/3600 of a degree or 1/60 of a minute

600

60

In one hour, there are 3600 seconds. This is because each minute has 60 seconds, and there are 60 minutes in an hour (60 x 60 = 3600). Therefore, 1/3600 of a degree or 1/60 of a minute is equal to one second.

Explanation

In one hour, there are 3600 seconds. This is because each minute has 60 seconds, and there are 60 minutes in an hour (60 x 60 = 3600). Therefore, 1/3600 of a degree or 1/60 of a minute is equal to one second.