Unit Circle
- Author:
- IngerSJ
Change the value of the angle v by using the slider. The slider changes the angle in jumps of 5 degrees.
Task 1
Fill out a table like it’s described below on a piece of paper by using the applet:
Make three columns: One for the angle v, another for the value of cos(v) and a third for the value of sin(v).
Start at v=0° and increase it in steps of 15° all the way until you reach 360°. Yes that is 26 entries and no I’m not kidding .
Use the applet to determine the values of cos(v) and sin(v) for each value of v and write them down.
Task 2
Look for angles where the values of cos(v) are exactly the same. Mark them all in one color. Which pattern can you see in the relationship between angles with the same value of cosine?
Look for angles where the values of cos(v) are the same but the signs are opposite. Mark them all in another color. Which pattern can you see in the relationship between angles with the same value but opposite signs of cosine?
Look for angles where the values of sin(v) are exactly the same. Mark them all in a third color. Which pattern can you see in the relationship between angles with the same value of sine?
Look for angles where the values of sin(v) are the same but the signs are opposite. Mark them all in a fourth color. Which pattern can you see in the relationship between angles with the same value but opposite signs of sine?