Coterminal Angles Calculator


What is Coterminal Angles Calculator?

'Cuemath's Coterminal Angles Calculator' is an online tool that helps to calculate the coterminal angles. Cuemath's online Coterminal Angles Calculator helps you to calculate the coterminal angles within a few seconds.

NOTE: Enter upto three digits only.

How to Use Coterminal Angles Calculator?

Please follow the below steps to find the coterminal angles:

  • Step1: Enter the angle in the given input box.
  • Step 2: Click on the "Calculate" button to find the coterminal angles.
  • Step 3: Click on the "Reset" button to clear the fields and find the coterminal angles for different angles.

How to Find Coterminal Angles?

The coterminal angles are defined as the angles that have the same initial side and the same terminal sides. we can find the coterminal angle(s) of any angle either by adding or subtracting multiples of 360°

There are two types of coterminal angles:

  • Positive coterminal angles
  • Negative coterminal angles

Positive coterminal angles: By adding multiples of 360° to a given angle gives positive coterminal angles.

Negative coterminal angles: By subtracting multiples of 360° to a given angle gives negative coterminal angles.

Solved Example:

Find coterminal angles for 60°

Solution:

Given a = 60°

Positive coterminal angles of 60° are 60° + 360°, 60° + 720°, 60° + 1080°

= 420°, 780°, 1140°....

Negative coterminal angles of 60° are 60° - 360°, 60° - 720°, 60° - 1080°

= -330°, -660°, -1020°....

Similarly, you can try the calculator to find the coterminal angles for

1) Angle 45°

2) Angle 60°

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