# How do you find the Coterminal angle?

## How do you find the Coterminal angle?

Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found.

Is 15 and 375 a Coterminal angle?

Coterminal angle of 15°: 375°, 735°, -345°, -705°

How do you find the Coterminal angle in radians on a calculator?

How to calculate a co terminal angle

1. Let’s assume you are given an angle in radians.
2. First, you must convert the radians to degrees.
3. Last, we need to add 360 degrees to that angle to find an angle that is coterminal with the original angle, so 114.59+360 = 475.59 degrees.
4. Check the answer using the calculator above.

### What is the Coterminal angle of 420?

Trigonometry Examples Subtract 360° 360 ° from 420° 420 ° . The resulting angle of 60° 60 ° is positive, less than 360° 360 ° , and coterminal with 420° 420 ° .

What is the least positive Coterminal angle?

Explanation: To find a coterminal angle, you must add or subtract . The question is asking for the least positive coterminal angle, so you must add until you reach a positive angle. The angle is still negative, so you must continue.

What angles are Coterminal with a 95 angle?

Trigonometry Examples Add 360° 360 ° to −95° – 95 ° . The resulting angle of 265° 265 ° is positive and coterminal with −95° – 95 ° .

#### What is the smallest positive Coterminal angle to degrees?

The smallest angle will be 299∘ , angle 659∘ (299+360) is also coterminal with -61 degrees, and sucesively.

What is the Coterminal angle of 130?

-230°
130° and -230° Coterminal Angles.

What angle is 5pi 3?

A B

## What are the formulas for coterminal angle calculator?

This coterminal angle calculator converts an angle in degrees or radians into two positive co-terminal angles and two negative co-terminal angles. The following formulas are used to calculate coterminal angles.

Is there an infinite number of co-terminal angles?

In reality, there is an infinite number of co-terminal angles. The definition is simply an angle that ends at the same point as another angle on a coordinate plane. Since the coordinate circle has a total rotation of 360 degrees, adding or subtracting that to the angle yields a result as does the coterminal angle calculator above.

How to find the positive and negative coterminal angles?

Coterminal angles are angles which share the same initial side and terminal sides. Use the below online coterminal angle calculator to find out the positive and negative coterminal angles for the given angle by entering angle value in the input field. Coterminal angles are angles which share the same initial side and terminal sides.

### When do two angles have a coterminal relationship?

In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical. Also, you can remember the coterminal angles definition as angles that differ by a whole number of complete circles .