Monday, February 11, 2013

Unit N. Concept 7: Derive the Unit Circle Activity


30° - 60° - 90° Special Right Triangle




45° - 45° - 90° Special Right Triangle



60° - 30° - 90° Special Right Triangle



UNIT CIRCLE

***Be sure to notice how in all three of these special right triangles r = 1, that is because we are dealing with how this correlates to the UNIT CIRCLE in which its radius ('r') is always equal to one. Moreover, in each case where the hypotenuse, or 'r' (radius) is equal to '1' we try to solve for 'x' and 'y' so that when together they are equal to one which gives us their ordered pair in their location within the Unit Circle. For more of a visual, the picture above shows you where and how the points solved for (whether it was a 30° - 60° - 90° Special Right Triangle, 45° - 45° - 90° Special Right Triangle, 60° - 30° - 90° Special Right Triangle) would be plotted.