Worksheet – 5.2
Name__________________________________
1. Fill in the missing values in the chart below, where represents the distance on the unit circle, where
0  t  2 . Negative means the algebraic sign of the value is negative. Give exact values.
cos t
t
radians

sin t
tan t
negative
3
2
5
3
negative
undefined
2. Find the exact values of all 6 trigonometric functions for each value of t . If a value does
not exist, write undefined.
a. t 
7
4
b. t  
c. t 
5
6
3
2
3. Find the exact values of all 6 trigonometric functions given the following information:
a. tan t  4 and the terminal point determined by t is in QIII.
b. cos t  A , where A  0 and the terminal point determined by t is in QIV.
4. Let v 

. Evaluate each of the following. Exact answers are required, not calculator
4
approximations.
a. cosv 
 2v 
b. cos 
 3 
d. cos2v 
e.
2 cosv
c.
cos v 
2
f. cos 2 v 
5. Calculate the following trig functions, given the following information:
a. Let cos( r )  0.29 .
Find
(i) cos(  r )
(ii) cos(  r )
b. Let sin( w)  0.25
Find
(i) sin(  w)
(ii) sin(   w)