How do you find the six trigonometric functions of Quadrantal angles?

The trigonometric ratios of quadrantal angles are given below.

  1. For θ = 00 A point (x, y) = (1, 0) lies on the terminal side of the angle θ.
  2. For θ = 900 A point (x, y) = (0, 1) lies on the terminal side of angle θ.
  3. For θ = 1800 A point (x, y) = (-1, 0) lies on the terminal side of angle θ.
  4. For θ = 2700

Which of the following is a Quadrantal angle?

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 degrees a Quadrantal angle?

Quadrants & Quadrantal Angles Angles between 0∘ and 90∘ are in the first quadrant. Angles between 90∘ and 180∘ are in the second quadrant. Angles between 180∘ and 270∘ are in the third quadrant. Angles between 270∘ and 360∘ are in the fourth quadrant.

Is 45 degrees a Quadrantal angle?

The angle is in the first quadrant.

Which of the following is 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. 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.

What quadrant are Quadrantal angles in?

A quadrantal angle is one that is in the standard position and has a measure that is a multiple of 90° (or π/2 radians). A quadrantal angle will have its terminal lying along an x or y axis. In the figure above, drag the point A around and see which angles are quandrantal angles….Quadrantal Angle (Trigonometry)

Radians
✔ Degrees

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.

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