10++Finding+reference+angles+in+radians

Finding Reference angles in radians: Ryan Jacobs, Louis Kang, and Jason Prezant
Part 1: Summary ====Finding reference angles in radians is sort of similar to finding them in degrees. The only big difference is the incorporation of Pi. To find the reference angle in radians, you have to determine the angle between the x axis, and the line. This is easy for the first quadrant but for the other three, it would be better to use an equation. The goal is simple; all that you have to do is find the reference in radians. The hard part is actually figuring out where the angle is on the unit circle. Once you find that, you would add or subtract π/2 or 2π depending on what quadrant the angle is in.====

Part 2: Rules, formulas, properties, and other important information

When it comes to reference angles in radians, there are multiple rules, formulas, properties and other important information. For example: -references angles in radians involves pi in the number -the reference angle is the angle closest to the x-axis, so if the angle of the line is greater than π/4 and less than 3π/4, or greater than 5π/4 and less than 7π/4, you take the reference angle of that. If the angle is not greater than π/4 and less than 3π/4, or greater than 5π/4 and less than 7π/4, then the reference angle is the actual angle of the line -the radians are based on increments of π, so the radian can be a fraction if the angle is not an increment of π -to find the reference angle in radians in the first quadrant, if the angle is greater than π/4, take π/2 and subtract the angle. -to find the reference angle in radians in the second quadrant, if the angle is less than 3π/4, take π and subtract the angle. -to find the reference angle in radians in the third quadrant, take the angle and subtract π. -to find the reference angle in radians in the fourth quadrant, take 2π and subtract the angle.

Find the reference angle of these three angles. Make sure that it is in Radian. It would be helpful to use the Unit Circle.


__**Part 4: Links**__ 1. http://www.analyzemath.com/Angle/reference_angle.html 2. http://www.mathnstuff.com/math/spoken/here/1words/r/r19.htm 3. http://library.thinkquest.org/20991/alg2/trig.html