In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

What is the Coterminal angle of 360?

Coterminal angle of 360° (2π): 0°, 720°, -360°, -720°

What is a Coterminal angle of 45?

In Mathematics, the coterminal angle is defined as an angle, where two angles are drawn in the standard position. Also both have their terminal sides in the same location. For example, the coterminal angle of 45 is 405 and -315.

What is the Coterminal angle of 75?

Find an angle that is positive, less than 360° , and coterminal with −75° . Add 360° 360 ° to −75° – 75 ° . The resulting angle of 285° 285 ° is positive and coterminal with −75° – 75 ° . Since the angle 285° is in the fourth quadrant, subtract 285° from 360° .

How do you know if a pair of angles are Coterminal?

If two angles are drawn, they are coterminal if both their terminal sides are in the same place – that is, they lie on top of each other. In the figure above, drag A or D until this happens. If the angles are the same, say both 60°, they are obviously coterminal.

Which angle is Coterminal with a 120 angle?

Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.

Are 180 and 540 Coterminal angles?

Trigonometry Examples

The resulting angle of 180° 180 ° is positive, less than 360° 360 ° , and coterminal with 540° 540 ° .

Which angle is Coterminal with 590?

Trigonometry Examples

Find an angle that is positive, less than 360° , and coterminal with 590° . Subtract 360° 360 ° from 590° 590 ° . The resulting angle of 230° 230 ° is positive, less than 360° 360 ° , and coterminal with 590° 590 ° .

What angle is Coterminal to 128 degrees?

All angles having a measure of 128° + 360k°, where k is an integer, are coterminal with 128°. A positive angle is 28° + 360°(3) or 1208°.

What is the reference angle for a 240 angle?

Reference angle for 240°: 60° (π / 3)

What is the Coterminal angle of 240?

Trigonometry Examples

Find an angle that is positive, less than 360° , and coterminal with −240° . Add 360° 360 ° to −240° – 240 ° . The resulting angle of 120° 120 ° is positive and coterminal with −240° – 240 ° .

What angle is Coterminal with 112 degrees?

Some of the coterminal angles of 112° are 472°, 832°, -248°, and -608°.

What is the reference angle for 11π 6?

Trigonometry Examples

The resulting angle of π6 π 6 is positive and coterminal with −11π6 – 11 π 6 . Since π6 is in the first quadrant, the reference angle is π6 .

What angles are Coterminal with 210 degrees?

Trigonometry Examples

Add 360° 360 ° to −210° – 210 ° . The resulting angle of 150° 150 ° is positive and coterminal with −210° – 210 ° . Since the angle 150° is in the second quadrant, subtract 150° from 180° .

Which measure is of an angle that is Coterminal with a 135 angle?

The resulting angle of 225° 225 ° is positive and coterminal with −135° – 135 ° .

How do you find the complement and supplement?

If we know that a set of angles form one of these special relationships, we can determine the measure of the other angle. To determine the supplement, subtract the given angle from 180. 180 – 43 = 137° The supplement of 43° is 137°. To determine the complement, subtract the given angle from 90.

What is the terminal side?

Definition of terminal side

: a straight line that has been rotated around a point on another line to form an angle measured in a clockwise or counterclockwise direction — compare initial side.

Is 90 degrees a complementary angle?

Although a right angle is 90 degrees, it can’t be called a complementary because it doesn’t appear in pairs. It is just a complete one angle. Three angles or more angles whose sum is equal to 90 degrees cannot also be called complementary angles.