The Hypotenuse has a length of 1, since it is the radius of the Unit Circle. So, for example, an angle of 330 degrees (clockwise, 330 deg positive) is coterminal with -30 degrees (counterclockwise, 30 deg negative), since they end at the same point.Ĭo terminal = 'sharing the terminal side' Trig Functions on the Unit Circle: If we rotate in the clockwise direction, we consider to be negative. If is the number of rotations, then (or ) is coterminal with. This angle could also be called 730 degrees (2 rotations + 10 deg), 3610 degrees (10 rotations + 10 deg), etc. For example, an angle of 10 degrees is the same as an angle of 370 degrees, since 370 degrees includes one full rotation of 360 degrees plus another 10 degrees. Therefore we define Coterminal Angles as angles that are at the same place on the circle, but could result from multiple rotations. All papers from this agency should be properly referenced. Online writing service includes the research material as well, but these services are for assistance purposes only. However, it is easiest to work with angles in the range of 0 - 360 (or 0 - radians). Disclaimer: is the online writing service that offers 8 2 Homework Special Right Triangles custom written papers, including research papers, thesis papers, essays and others. Since we can continue around the circle as many times as we like, the angle can exceed 360 degrees ( radians). The Reference Angle is the 'theta' of the right triangle. We define Reference Angles to be the acute angle from the x-axis to the HYP. However, if we are working with the right triangles described above, the angle in the triangle that we would normally call ' ' must be positive and cannot exceed 90 degrees. We define the angle to extend counterclockwise from the Initial Side to the Terminal Side. Its Adjacent side extends from the Origin to the intersection of the Opposite side and the x-axis. The triangle's Opposite side will extend from the intersection point vertically (up or down) to the x-axis. If we draw a segment from the Origin to the point where the terminal side intersects the Circle, we can define that as the Hypotenuse of a right triangle.

We establish the positive x-axis as the 'initial side' of an angle, with any ray from the Origin forming its 'terminal side'. The ' Unit Circle' is a circle of radius 1, centered at the Origin.

Special right triangles definition