Positive And Negative Coterminal Angles Math

Adding 2π to the original angle yields one positive coterminal angle.

Positive and negative coterminal angles math. In radians 360 2π radians if the angle is negative keep adding 360 until the result is between 0 and 360. π 2π π. While subtracting 360 twice will result in a negative coterminal angle. α 2π n if α is given in radians where n 0 1 2 3 by subtracting 2π from the original angle one negative coterminal angle has been found.

Find a positive and a negative angle coterminal with a 55 angle. Show your result on the coordinate plane. Coterminal of θ θ 360 k if θ is given in degrees coterminal of θ θ 2π k if θ is given in radians. 55 360 305 55 360 415.

Subtract 360 or 2 pi to find the negative coterminal angle. To find a positive and a negative angle coterminal with a given angle you can add and subtract 360 if the angle is measured in degrees or 2 π if the angle is measured in radians. For any angle α the negative coterminal angle can be found by. Solution as 610 is greater than 360 subtracting 360 once will give a coterminal angle that is still positive.

So we decide whether to add or subtract multiples of 360 o or 2 pi to get positive or negative coterminal angles. 610 360 250 610 360 360 110. For example one revolution for our exemplary α is not enough to have both a positive and negative coterminal angle we ll get two positive ones 1040 and 1760. Two angles are coterminal if the difference between them is a multiple of 360 or 2π.

π 2π 3π. This trigonometry video tutorial explains how to find a positive and a negative coterminal angle given another angle in degrees or in radians using the unit. Determine if the following pairs of angles are coterminal. 390 o is the positive coterminal angle of 30 o and 690 o is the negative coterminal angle of 30 o.

Find one positive coterminal angle and one negative coterminal angle. If the result is the same for both angles they are coterminal. It finds coterminal angles of a given angle. Add 360 or 2 pi to find the positive coterminal angle.

Positive and negative coterminal angles. So π and 3π are coterminal. The following simulation is a coterminal angles calculator this does two things. The angles are presented in degrees or radians.