Finding Reference Angles

Hi, Welcome to another episode of the "Cory Teaches You How to do Something Show" (applause). On this weeks show, I(Cory Costanza) will teach you how to do something(more applause). I hope your ready to learn because boy o boy am i ready to teach. Lets learn about "Finding Reference Angles". Golly Gosh im excited.

These are the steps 0n how to find a reference angle, and i beg you not to fall asleep.
1.) Find the original quadrant and sketch
2.) Determine if the angle is positive or negative using unit circle methods.
3.) Subtract 360 or 180 degrees until the absolute value of theta is b/w 0 and 90 degrees

Lets work an example problem. Well jesus christmas that sounds like such a good idea.
Find the reference angle for:
sin1055

1.) The originl quadrant for this probelm is quadrant 4.
2.) Find out if it is positive or negative by using the formula y/r because it is sin. r is always 1. In quadrant 4, y is negative so no you know the answer is negative.
3.) Now subtract 360 from 1055 until the absolut value is b/w 0 and 90.
1055-360-360-360=-25
The absolute value of -25 is 25
The final answer is -sin25

Well there you have it folks. This is how you find reference angles. I hope you enjoyed reading this as much as i enjoyed typing it up for you. Tune in next week on the"Cory Teaches You How to do Something Show"(applause) to see what I(Cory Costanza) teaches you next. I cant wait to see you again.