If you have trouble remembering that the negative y-axis is 3๐/2, you can use the addition addition trick for finding the third quadrant radians.
Quadrant 1 denominators look like this: 6, 4, 3 Quadrant 2 denominators look like this: 3, 4, 6 Quadrant 3 denominators are in this order: 6, 4, 3 Quadrant 4 denominators are in this order: 3, 4, 6
0 degree angles have a measurement of 0. A 30 degree angle has a measurement of ๐/6. A 45 degree angle has a measurement of ๐/4. A 60 degree angle has a measurement of ๐/3. A 90 degree angle has a measurement of ๐/2.
The 270 degree angle uses 3 to get a radian of 3๐/2. A 300 degree angle has 5 in the denominator, for 5๐/3. A 315 degree angle has 7 in the denominator, for 7๐/4. A 330 degree angle has 11 in the denominator, for 11๐/6. Finally, the circle ends on a 360 degree angle, which has a radian of 2๐. (Remember, this is your positive x-axis, as explained above. )
Use your pinky to represent a 0 degree angle. The 0 degree angle falls on your x-axis. Itโs the starting point of your circle, which is why itโs 0. Your ring finger represents a 30 degree angle. Let your middle finger represent a 45 degree angle. Your index finger represents a 60 degree angle. Make your thumb represent the 90 degree angle.
For example, if you were finding the coordinates for a 30 degree angle, youโd put down your ring finger. To the left of that finger, you have your thumb, index finger, and middle finger, which means 3 fingers. This means the cosine coordinate is 32{\displaystyle {\frac {\sqrt {3}}{2}}}. This is your final answer since you can’t simplify the fraction any further. If you were getting the cosine for a 0 degree angle, youโd put down your pinkie and count 4 fingers to the left. Your equation is 42{\displaystyle {\frac {\sqrt {4}}{2}}}. Since the square root of 4 is 2, youโd solve 2/2=1. This is your cosine.
In the example above, youโd see that for a 30 degree angle you only have one finger to the right, your pinky finger. That means your sine coordinate would be 12{\displaystyle {\frac {\sqrt {1}}{2}}}. Since the square root of 1 is 1, you can just write 1/2. For your 0 degree angle, youโd see that there are no fingers to the right of your pinky. This means your sine must be 0.
Quadrant 1 coordinates are (+,+). Quadrant 2 coordinates are (-,+). Quadrant 3 coordinates are (-,-). Quadrant 4 coordinates are (+,-).
Hereโs a song you might try memorizing: https://www. youtube. com/watch?time_continue=101&v=1CiXAP8XaBg
https://www. mathwarehouse. com/unit-circle/unit-circle-game. php https://www. sporcle. com/games/mhershfield/unit-circle-picture-click https://www. purposegames. com/game/unit-circle-quiz
You can try pre-made flashcards on Quizlet: https://quizlet. com/17071364/unit-circle-degreesradianssinecosine-flash-cards/ or https://quizlet. com/30187064/sin-cos-and-tan-of-the-unit-circle-radians-flash-cards/
