## What is the Coterminal angle of 30 degrees?

Coterminal angles: are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example, the angles 30°, –330° and 390° are all coterminal (see figure 2.1 below).

## How do you solve for Coterminal angles?

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

What does Coterminal mean?

Definition of coterminal : having different angular measure but with the vertex and sides identical —used of angles generated by the rotation of lines about the same point in a given line whose values differ by an integral multiple of 2π radians or of 360° coterminal angles measuring 30° and 390°

How do you determine if two angles are Coterminal?

If two angles are drawn, they are coterminal if both their terminal sides are in the same place – that is, they lie on top of each other. In the figure above, drag A or D until this happens. If the angles are the same, say both 60°, they are obviously coterminal.

### What is the Coterminal angle of 360?

Coterminal angle of 360° (2π): 0°, 720°, -360°, -720°

### What is the Coterminal angle of 45?

In Mathematics, the coterminal angle is defined as an angle, where two angles are drawn in the standard position. Also both have their terminal sides in the same location. For example, the coterminal angle of 45 is 405 and -315.

What is Coterminal to degrees?

A coterminal angle is an angle that ends at the same location as another angle. For example, 1 degree and 361 degrees are at the same location since the total angles in a circle are 360 degrees.

What is the Coterminal angle of 40?

Illustration showing coterminal angles of 40° and -320°. Coterminal angles are angles drawn in standard position that have a common terminal side.

## What is the Coterminal angle of 155?

Algebra Examples Add 360° 360 ° to −155° – 155 ° . The resulting angle of 205° 205 ° is positive and coterminal with −155° – 155 ° .

## What is the Coterminal of 380 degrees?

Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 380° . Subtract 360° 360 ° from 380° 380 ° . The resulting angle of 20° 20 ° is positive, less than 360° 360 ° , and coterminal with 380° 380 ° .

What is the Coterminal angle of 205?

Illustration showing coterminal angles of 205° and -155°. Coterminal angles are angles drawn in standard position that have a common terminal side.