I'm a high school senior taking Pre-Calculus. We just recently finished the unit on sequences and series and we are going to be diving into trigonometry. For my homework assignment there are several questions regarding radians. In Algebra 2 Trig, we only briefly learned what radians were, and I had to fill in a unit circle from memory. However that was sort of memorization and I did not really get to understand what radians were. I know that one circle is 2pi radians, half a circle is pi radians, 1/4th a circle pi/2 radians, etc. However when I'm solving trig problems if I am given radians I usually convert to degrees for ease. My teacher told me that is a bad idea since radians are commonly used and it's best I learn to use radians. Nonetheless, how do you recommend I do this? It's hard to have an alternative to degrees since I already feel so comfortable working in degrees.