What is the formula for Coterminal angles?

We can find the coterminal angles of a given angle by using the following formula: Coterminal angles of a given angle θ may be obtained by either adding or subtracting a multiple of 360° or 2π radians. Coterminal of θ = θ + 360° × k if θ is given in degrees. Coterminal of θ = θ + 2π × k if θ is given in radians.

How do you find Coterminal and reference angles?

Coterminal angles are equal angles. To find a coterminal of an angle, add or subtract \(360\) degrees (or \(2π\) for radians) to the given angle. Reference angle is the smallest angle that you can make from the terminal side of an angle with the \(x\)-axis.

What are Coterminal angles?

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. Here 405 is the positive coterminal angle, -315 is the negative coterminal angle.

How do you know if two 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.

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 .

Are reference angles always positive?

The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.

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 ° .

How do you find a positive and negative Coterminal angle?

Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Add 360° to find a positive coterminal angle. Subtract 360° to find a negative coterminal angle. Angles that measure 240° and –480° are coterminal with a –120° angle.