politics | March 10, 2026

What is the terminal side of an angle?

What is the terminal side of an angle?

Standard Position: An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.

What is a Quadrantal angle?

Definition A quadrantal angle is an angle in standard position whose terminal ray lies along one of the axes. Examples of quadrantal angles include, 0, π/2 , π , and 3π/ 2. Angles coterminal with these angles are, of course, also quadrantal.

How do you find the terminal side?

An angle is in standard position in the coordinate plane if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.

How do you find the Quadrantal angle?

Quadrants are usually denoted by roman letters I, II, III and IV as shown in the figure below:

  1. Angles between 0∘ and 90∘ are in the first quadrant.
  2. Angles between 90∘ and 180∘ are in the second quadrant.
  3. Angles between 180∘ and 270∘ are in the third quadrant.
  4. Angles between 270∘ and 360∘ are in the fourth quadrant.

How do you find the terminal point of an angle?

To find the terminal point on the unit circle, start at (1,0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.

Is 1080 a Quadrantal angle?

The angle is between the fourth and first quadrant.

Is 540 degrees Quadrantal angle?

The angle is between the second and third quadrant.

Is 360 Quadrantal angle?

An angle in standard position is called a quadrantal angle if its terminal side lies on x-axis or y-axis. Quadrantal angles include 0∘, ±90∘, ±180∘, ±270∘, ±360∘ etc.

What is the terminal side of a unit circle?

The vertex is always placed at the origin and one ray is always placed on the positive x-axis. This ray is called the initial side of the angle. The other ray is called the terminal side of the angle. This positioning of an angle is called standard position.