# Are Coterminal angles and reference angles the same?

**angles**in standard position have the

**same**terminal side, they are called

**coterminal angles**. The

**reference angle**is the acute

**angle**(the smallest

**angle**) formed by the terminal side of the given

**angle**and the x-axis.

In respect to this, 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.

**Quadrantal Angles**:

**Angles**0°, 90°, 180°, 270°, and 360°

**do**not

**have reference angles**because they are

**quadrantal angles**.

Additionally, what are reference angles?

The **reference angle** is the positive acute **angle** that can represent an **angle** of any measure. The **reference angle** is always the smallest **angle** that you can make from the terminal side of an **angle** (ie where the **angle** ends) with the x-axis. A **reference angle** always uses the x-axis as its frame of **reference**.

Therefore, **60** degrees and -300 degrees are **coterminal angles**. The -300 degree rotation is pictured here. Infinitely many other **angles** are **coterminal** to **60** degrees. Each time you add or subtract a multiple of 360 degrees to **60** degrees, you will end up with a **coterminal angle of 60** degrees.