Coterminal Angle Calculator. Step-by-step solution

Enter values

Last update: 2024-06-29

5/1

Want to

Find Coterminal Angles

Angle in

degrees °

Angle

Result:

400°, 760°, 1120°, 1480°...

-320°, -680°, -1040°, -1400°...

Find positive coterminal angles

Formula

β = Degree + 360 \times n

β = 40 + 360 \times n

n = 1, 2, 3, 4...

Solution steps

40 + 360 × 1 = 400°

40 + 360 × 2 = 760°

40 + 360 × 3 = 1120°

40 + 360 × 4 = 1480°

400°, 760°, 1120°, 1480°...

Find negative coterminal angles

Formula

β = Degree - 360 \times n

β = 40 - 360 \times n

n = 1, 2, 3, 4...

Solution steps

40 - 360 × 1 = -320°

40 - 360 × 2 = -680°

40 - 360 × 3 = -1040°

40 - 360 × 4 = -1400°

-320°, -680°, -1040°, -1400°...

Rating: 5

Votes: 1

The coterminal angle calculator helps quickly and accurately determine angles that are coterminal, meaning they have the same direction or coincide on the unit circle.

How to use the coterminal angle calculator?

This calculator can be used to find coterminal angles of any given angle in degrees or radians. Simply enter the angle you want to find the coterminal angles for and click the "Calculate" button. The calculator will then display the positive and negative coterminal angles.

Here's a step-by-step guide:

Select the desired units from the dropdown menu.
Choose degrees or radians.
Enter the initial angle.
Click the calculate button.
The calculator will display the positive and negative coterminal angles for the given angle.
Review the solution steps.

The coterminal angle calculator allows you to quickly determine coterminal angles in both degrees and radians, which is particularly useful when solving problems and performing various calculations.