What is the Coterminal angle of 42?

All angles having a measure of 42° + 360k°, where k is an integer, are coterminal with 42°. A positive angle is 42° + 360°(1) or 402°. A negative angle is 42° + 360°(-2) or -678°.

How do you find a positive 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 2π if the angle is measured in radians .

What is a positive Coterminal angle?

Coterminal angles: are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example, the angles 30°, –330° and 390° are all coterminal (see figure 2.1 below).

What is the 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 an angle between 0 and 2pi that is Coterminal with?

Explanation: To get coterminal angles, you simply have to add or subtract 2π . In this problem, we are looking for a coterminal angle that is between 0 and 2π , so we will add 2π to −1924π .

What angles are Coterminal with a 95 angle?

Trigonometry Examples Add 360° 360 ° to −95° – 95 ° . The resulting angle of 265° 265 ° is positive and coterminal with −95° – 95 ° .

What is the Coterminal angle?

What is the Coterminal angle of 115?

-245°
Coterminal Angles 115° Can you think of another angle whose terminal side will be the same as the 115° angle shown to the right? 115° 115 – 360 = -245° Try starting at the initial side and going clockwise (this is a negative angle).

What is the Coterminal angle of 90?

270 again will pass 90 degrees, so we know this answer can be eliminated. with 450, we subtract 360 to get 90, which will satisfy the coterminal angles. For -270, we rotate the pencil to the RIGHT 270 degrees, which will terminate on the 90 degree line, making this satisfy the coterminal angle as well!

What is Coterminal angle with?

What does it mean for angles to be coterminal?

Definition of coterminal. : having different angular measure but with the vertex and sides identical —used of angles generated by the rotation of lines about the same point in a given line whose values differ by an integral multiple of 2π radians or of 360° coterminal angles measuring 30° and 390°.

What are some examples of coterminal angles?

and a terminal side.

Which Angle has a positive measure?

Positive angles. The positive angles on the unit circle are measured with the initial side on the positive x-axis and the terminal side moving counterclockwise around the origin.

How do you calculate degrees of angle?

Solve the angle of an incline by finding the rise and the run of a line. Convert rise and run to the same units of measure, then divide the rise by the run to find the decimal form. Finally, get the inverse tangent of the decimal to find the angle in degrees. degrees = tan-1(decimal).