Do Now: The Unit Circle
Date:_________
1. Why is the hypotenuse of this triangle labeled as 1?
2. Why is the leg opposite the 30 labeled as ?
3. Find the length of the third side of this triangle, Show and explain how you did it.
4. Label coordinates of the indicated point in each Unit Circle.
5. Now find, draw and label the measure of the angle in standard the position in each Unit Circle above.
6. Use each Unit Circle to determine the following trigonometric ratios.
 
cos60  
sin 60  

 
cos300  
sin 300  

 
cos120  
sin 120  

 
cos480  
sin 480  

 
cos240  
sin 240  

 
cos 60  
sin  60  

7. Find the lengths labeled x and y. Show and explain how you did it.
8. Label the coordinates of the indicated points in each Unit Circle below.
9. Now find, draw and label the measure of the angle in standard the position in each Unit Circle above.
10. Use each Unit Circle to determine the following trigonometric ratios.
 
cos45  
sin 45  

 
cos315  
sin 315  

 
cos135  
sin 135  

 
cos405  
sin 405  

 
cos225  
sin 225  



cos 135  
sin  135  
