Determine the smallest positive and negative coterminal angles in degrees

👉 Learn how to determine co-terminal angles given one angle. An angle is a figure formed by two rays that have a common endpoint. The two rays are called the sides of the angle while the common endpoint is called the vertex of the angle. We measure angles starting from the positive x-axis, i.e. the initial side of an angle measure is usually the positive x-axis. The angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction.

Coterminal angles are angles that have the same initial and terminal sides. Coterminal angles are found by adding/subtracting 360 degrees (for degree angle measure) or 2pi (for radian angle measure) to/from the given angle. Usually, we are looking for the smallest positive and smallest negative coterminal angles since there are infinitely many answers.

Organized Videos:
✅ Angles in Trigonometry
✅ Solve Problems with Arc Length
✅ Angles in Trigonometry | Learn about
✅ Sketch Angles in Standard Position
✅ Find the Quadrant of the Angle
✅ Find the Reference Angle
✅ Complement and Supplement of an Angle
✅ Convert Radians to Degrees
✅ Convert Degrees to Radians
✅ Convert Degrees to Degree Minute Seconds
✅ Convert Degree Minute Seconds to Degrees
✅ Coterminal Angles | Learn About
✅ Find Coterminal Angles | 0 and 2pi
✅ Find Coterminal Angles | 0 and 360

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[lazyotaku]

I literally listen to my class instead of just sleeping but he never did explain as well as this teacher does...

[gayfrogs]

You literally helped meunderstood this in less than 2 minutes but my teacher couldn’t in 45 minutes.

[cryptedz]

I really appreciate this, this is helping a lot

[Khwartz]

Great but for me there should have an other object with amore rigorous definition imho, and it would be if written something like as follows:

{alpha° = theta° + n × 360°} -> {0° >/= thêta° > 360°},

with n, integer including zero;

which would then include alpha as is own "minimum coterminal angle" when already between [0° and 360°[.

But I know, that's NOT the usual.

Would have a name corresponding to this definition (similar to the "reference angle" been congru modulo 360° instead of 90°)?

[Acav_]

I wish my teacher explained things this clearly.