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. Some of these angles have been illustrated in the figures below. Note that the terminal side of these angles lies either on x-axis or on y-axis.

Is 270 a Quadrantal angle?

Explanation: A Quadrantal Angle is any angle in standard position with its terminal side on the x-axis or the y-axis. The terminal side of the angle is on the y-axis. Hence, that angle 270∘ is a Quadrantal Angle.

What are Quadrantals?

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.

Is 225 a Quadrantal angle?

The angle is in the third quadrant.

Is 540 degrees a Quadrantal angle?

The angle is between the second and third quadrant.

Is 120 a Quadrantal angle?

Solution. The angle 120∘ is in the second quadrant, and its related angle is 60∘.

Is 180 a Quadrantal angle?

Quadrantal angles (0, 90, 180, and 270 degrees), and the values of the sine, cosine, and tangent of each of these angles.

What is the quadrant of 135?

135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .

Is 90 degrees a Quadrantal angle?

Definition: Angles in the standard position where the terminal side lies on the x or y axis. For example: 90°, 180° etc.

Is 30 degrees a Quadrantal angle?

The angle is in the fourth quadrant.

Is 720 degrees a Quadrantal angle?

0° to 90° — first quadrant, 90° to 180° — second quadrant, 180° to 270° — third quadrant, 270° to 360° — fourth quadrant.

Is 450 degrees a Quadrantal angle?

The angle is between the third and fourth quadrant.

Is 300 degrees a Quadrantal angle?

The angle is in the fourth quadrant.