Can angles exceed 360 degrees?

Can angles exceed 360 degrees?

Angles Greater Than 360° \begin{align*}420^\circ\end{align*} is a full rotation of 360 degrees, plus an additional 60 degrees. Therefore the angle is coterminal with \begin{align*}60^\circ\end{align*}, and so it shares the same ordered pair, \begin{align*}\left ( \frac{1}{2}, \frac{\sqrt{3}}{2} \right )\end{align*}.

Can a reference angle be negative?

The reference angle of an angle is always non-negative i.e., a negative reference angle doesn’t exist. The reference angle of any angle always lies between 0 and π/2 (both inclusive).

Is 90 degrees a complementary angle?

Although a right angle is 90 degrees, it can’t be called a complementary because it doesn’t appear in pairs. It is just a complete one angle. Three angles or more angles whose sum is equal to 90 degrees cannot also be called complementary angles.

How do you construct a 200 degree angle?


  1. Given : angle 200 degree.
  2. To Find : draw angle 200 degree with protractor​
  3. Solution: Step 1 : Draw a line segment AB. Step 2 : Draw an angle of 160° at B on AB and mark C. ∠ABC = 160° Step 3 : Mark angle out side of angle that will be ∠ABC = 360° – 160° = 200° Learn More:

How do you construct an angle 360?

So, to make a 360-degree angle with a protractor, draw a line, ray, or line segment. Place the center point of that protractor at any endpoint of the line. Trace the circle given at the center around the endpoint. That will be the required angle of 360 degrees.

How to teach kids to draw angles?

Both well-stocked and to-the-point, these worksheets are a great source for children to practice drawing angles by reading the inner scale and outer scale of the protractor. Let them keenly watch the hour hand and the given angle to draw a minute hand for each clock. A reflex angle is greater than 180 degrees but less than 360 degrees.

What is the angle between 360 and 450 degrees?

For example, let us consider the angle 450°. When we divide 450 by 360, we get the remainder 90. Therefore, 450° should be taken as 90°. Let us consider the angle 360°. When we divide 360 by 360, we get the remainder 0. Therefore, 360° should be taken as 0°.

What are the trigonometric functions for angles greater than 360°?

In the trigonometric functions sin θ, cos θ, tan θ, csc θ, sec θ and cot θ, if the angle θ is greater than or equal to 360°, we have to do the following steps. For example, let us consider the angle 450°.

How do you convert 360 degrees to 90 degrees?

Therefore, 360° should be taken as 0°. 450° = 90° means, after having completed one circle of 360°, the position of the angle will be at 90° It has been given in the figure given below.