Finding Coterminal Angles Math

Find the angles of least positive measure coterminal to each angle.

Finding coterminal angles math. What is the coterminal angle formula. One method is to find the coterminal angle in the 0 360 range or 0 2π range as we did in the previous paragraph if your angle is already in that range you don t need to do this step. For example 30 390 and 330 are all coterminal. Smith s math tutorials 444 views 11 36 angle of elevation and depression word problems trigonometry finding sides angles right triangles duration.

A coterminal angle is an angle that ends at the same location as another angle. Coterminal angles examples 1 1 with an initial angle of θ 220 find one positive coterminal angle and one negative coterminal angle and draw them all on the same axis. More lessons on trigonometry an angle is said to be in standard position if it is drawn on the cartesian plane x y plane on the positive x axis and turning counter clockwise anti clockwise. Free practice for sat act and compass math tests a calculator to find the exact value of a coterminal angle to a given trigonometric angle.

Reference angle is the smallest angle that you can make from the terminal side of an angle with the x axis. Coterminal angles are angles in standard position that have a common terminal side. Find 2 angles that are coterminal with 135. In these lessons we will look at angles at standard position and coterminal angles.

Coterminal angles are two angles that are drawn in the standard position so their initial sides are on the positive x axis and have the same terminal side like 110 and 250 another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. Coterminal angles are equal angles. Positive and negative coterminal angles. Since there are an infinite number of coterminal angles this calculator finds the one whose size is between 0 and 360 degrees or between 0 and 2π depending on the unit of the given angle.

360 and θ 360 will give a positive and a negative coterminal angle with θ 220. The initial side of an angle is the ray where the measurement of an angle starts. For example 1 degrees and 361 degrees are at the same location since the total angles in a circle is 360 degrees. To find a coterminal of an angle add or subtract 360 degrees or 2π for radians to the given angle.