Math Problem Statement

When the terminal side of an angle in standard position lies along one of the axes, it is called ___ angle.

Solution

The question in the image asks to complete the sentence:

"When the terminal side of an angle in standard position lies along one of the axes, it is called ___ angle."

The correct answer is "a quadrantal" angle.

This is because a quadrantal angle is an angle whose terminal side lies along the x-axis or y-axis (i.e., at 0°, 90°, 180°, or 270°).

Would you like further details on quadrantal angles, or have any other questions?

Here are 5 related questions:

  1. What is the difference between a coterminal and a quadrantal angle?
  2. How do you calculate coterminal angles?
  3. What is the definition of a standard position angle?
  4. Can a quadrantal angle be negative? If so, how?
  5. How are quadrantal angles represented on the unit circle?

Tip: To quickly check if an angle is quadrantal, look for multiples of 90°.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Angles in standard position
Quadrantal angles

Formulas

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Theorems

A quadrantal angle is one whose terminal side lies on the x-axis or y-axis.

Suitable Grade Level

Grades 9-12